can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3

Answers

Answer 1

Answer:

Inverse of f(x) is ³2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer 2

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]


Related Questions

PLEASE HELPPP I'LL GIVE OUT BRAINLIEST !!!!!
Does (3, 3) make the equation y = 5x true?

Answers

Answer:

y = 5x

In the coordinate (3, 3), the first number is the x value and the second number is the y value.

So, does 3 = 5(3).

The answer is no, so this coordinate does not make the equation true.

Let me know if this helps!

Answer: No, the given point does not make the equation true.

===========================================================

Explanation:

There are three different ways to approach this.

One way is to plug x = 3 into the equation to find that

y = 5x

y = 5*3

y = 15

But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.

------

Or another method we could do is plug x = 3 and y = 3 to find a contradiction

y = 5x

3 = 5*3

3 = 15

The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.

------

The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.

A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by the restaurant. How much more soda did the customers who drank 3/4 of a quart drink than the customers who drank 1/4 of a quart?

Answers

Answer:

C

Step-by-step explanation:

13/4 simplified---->3and 1/4

Find the slope of the line that passes through the points (-8,-3) and (2, 3)
0
1
3/5
5/3

Answers

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

To find the slope passing through two points we use the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where

m is the slope

( x1 , y1) and ( x2 , y2) are the points

From the question the points are

(-8,-3) and (2, 3)

So the slope is

[tex]m = \frac{3 + 3}{2 + 8} = \frac{6}{10} = \frac{3}{5} [/tex]

Hope this helps you

heeelllpppppppppppppppp

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

2(1/5m - 2/5) + 3/5

= 2/5m - 4/5 + 3/5

= 2/5m - 1/5

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

[tex]2\left(\frac{1}{5}m-\frac{2}{5}\right)+\frac{3}{5}\\\\2\left(\frac{1}{5}m-\frac{2}{5}\right)=2\left(\frac{m}{5}-\frac{2}{5}\right)\\\\\frac{m}{5}-\frac{2}{5}=\frac{m-2}{5}\\\\=\frac{2\left(m-2\right)}{5}+\frac{3}{5}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{2\left(m-2\right)+3}{5}\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=\frac{2m-1}{5}[/tex]

Apply distributive property to the following expression

Answers

Answer:

4x+20

Step-by-step explanation:

You distribute 4 to x and 5. Which means you just multiply 4 to x and 5 since they're in the parenthesis. 4 times x is 4x and 4 times 5 is 20.

What is the responsible estimate of 6207 divided 214

Answers

Answer:

31

Step-by-step explanation:

We want to estimate 6207 / 214

Round 6207 to 6200

and 214 to 200

6200/200

62/2 = 31

We know that our estimate will be a little high since we are rounding the denominator down

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Answers

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

How do I solve 3(x+1)=5(x−2)+7?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]

Answer:

 x = 3

Step-by-step explanation:

3(x+1)=5(x−2)+7

Use the distributive property to multiply 3 by x+1.

3x+3=5(x−2)+7

Use the distributive property to multiply 5 by x−2.

3x+3=5x−10+7

Add −10 and 7 to get −3.

3x+3=5x−3

Subtract 5x from both sides.

3x+3−5x=−3

Combine 3x and −5x to get −2x

−2x+3=−3

Subtract 3 from both sides.

−2x=−3−3

Subtract 3 from −3 to get −6.

−2x=−6

Divide both sides by −2.

x = -6/2

Divide −6 by −2

x = 3

Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,2)

Answers

Answer:

y - 2 = -2/9( x - 8)

Step-by-step explanation:

hope this helps

let me know if u need more help

Answer:

y - 2 = -2/9(x - 8) or y - 4 = -2/9(x + 1)

Step-by-step explanation:

find slope first

(2 - 4)/(8 - -1) = -2/9

y - 2 = -2/9(x - 8)

Find the area. Round to the nearest tenth.
6 in.
5 in.
9 in.
in.

Answers

Answer:

131 1/4 in.²

Step-by-step explanation:

To find the area of the figure, you would have to divide the figure into two parts.  The figure can be divided into two rectangles.

Rectangle 1

The length is 11 3/4 in.  The width is 6 in.

A = lw

A = (11 3/4 in.)(6 in.)

A = 70 1/2 in.²

Rectangle 2

The length is 9 in.  The width is 6 3/4 in.

A = lw

A = (9 in.)(6 3/4 in.)

A = 60 3/4 in.²

Add the two areas together.

70 1/2 in.²  +  60 3/4 in.²  =  131 1/4 in.²

A
A 30 m high pillar has been broken 10 m above from the ground. The tip of the broken part makes an angle of ...........with the ground

Answers

Answer: Angie of 30 degrees

- 30m high pillar has been broken 10 m above ground = 20m

So,

sin0 = 10/20
sin0 = 1/2
= 30 degrees

The shape on the left is translated to the shape on the right which statement about transformation is true?

Answers

When. Dbhdbhsbbsb send Sheba ebbs she be be she ehehhd rhehebjebd jehd Ivan’s shhdbdhs ehuehe while she dhhe e hehebehe

which of the following is a quotient of the rational expressions shown here?

Answers

Answer:

x^2+x

--------

x-1

Step-by-step explanation:

x            1

------ ÷ --------

x-1        x+1

Copy dot flip

x          x+  1

------ * --------

x-1        1

x(x+1)

-------

x-1

x^2+x

--------

x-1

C: because (x-1)(x+1)= x^2 - 1

Is a 118 supplementary or complementary?pls ASAP!!

Answers

Answer:

[tex]\huge\boxed{Supplementary \ Angle}[/tex]

Step-by-step explanation:

118 is a supplementary angle. It is not a complementary angle because complementary angles add up to 90 and 118 is greater than 90 degrees. So, 118 is a supplementary angle and it is an angle adding up to 180 degrees with any other angle measuring 62 degrees.

Answer:Supplementary

Step-by-step explanation:You should remember that complementary refers to any number from 0-90 and supplementary refers to any number from 90 onwards..

Hereby giving the answer as ''Supplementary''

Help me with this please :)

Answers

Answer:

Hey there!

X+Y=0.

For example, two numbers that are equally far from the 0 on a number line are -2 and 2.

-2+2=0

Hope this helps :)

Answer:

x + y = 0

Step-by-step explanation:

Since the two values are the same distance from zero on the number line (i.e., they are equivalent in distance) and one is in the negative direction, and the other is in the positive direction, then the sum of both will be zero.

Since they are the same distance, just opposite in direction, it requires the same amount of "hops" for both values to reach zero, hence they will cancel each other out when added together.

Consider, -1 and 1.  Both are the same distance from 0; however, if you add them together (-1 + 1) you'll get the sum to be 0.

Cheers.

PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.

Answers

Answer:

See below.

Step-by-step explanation:

This is how you prove it.

<B and <F are given as congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

<DEC and <DCE are given as congruent.

Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

Now you need another side to do either AAS or ASA.

Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.

Now you have 1 pair of included sides congruent ABC and GFE.

Now using ASA, you prove triangles ABC and GFE congruent.

4x-8+9-6x=3x+6 cual es el valor de la x?

Answers

Answer:

El valor de x en esta ecuación es -1.

Step-by-step explanation:

4x - 8 + 9 - 6x = 3x + 6

En primer lugar, combinar términos similares en cada lado de la ecuación.

-2x + 1 = 3x + 6

A continuación, resta 3 veces en ambos lados de la ecuación.

-5x + 1 = 6

Ahora, resta 1 de ambos lados de la ecuación.

-5x = 5

Por último, divida por -5 en ambos lados de la ecuación.

x = -1

As a truck rounds a curve,a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of

Answers

Answer: inertia

Step-by-step explanation:

Inertia is the resistance posed by any physical object to any change which may occur to its velocity. This changes includes  the object's speed, direction of motion e.t.c. An important part of this property is the posibility of the objects to continue to move in a straight line at a constant speed, when no forces has acted upon them.

Answer:

B inertia

Step-by-step explanation:

Edg

If f(x)=-2x find x= -1

A.-3
B.-2
C.2
D.0

Answers

The answer to your question is C.2

give area of a rectangle measuring 12 ft by 9ft and please show all the work

Answers

Answer:

Area= 108ft²

Step-by-step explanation:

To find the area of a rectangle, you must do the following formula:

Area= Length × Width

A represents Area

L represents Length

W represents Width

Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:

A= L × W

= 12ft × 9ft

= 108 ft²

Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's too complicated.

The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?

Answers

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

What is the volume of the rectangular prism?

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

Learn more about rectangular prism;

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The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the function, what is the monthly growth rate?

Answers

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

[tex]y=a(1+r)^{x}[/tex]

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

[tex]f(x) = 12\cdot(1.035)^{x}[/tex]

Comparing this function with the exponential growth function:

[tex]a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}[/tex]

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The Hurricane Hunters took the following measurements from a hurricane over several days as it developed. Using the graph, what would be the wind speed of a hurricane with an air pressure of 937 kPa?

Answers

Answer:

Aroun 203 knots.

Step-by-step explanation:

we look at the x axis and find 937 kPa. Since it's in between 930 and 940 we find a estimate for it. we then move up until we reach the line that was graphed. we check what the y coordinate is, which is around the 203 mark

Roberto is x years older than his only sister but 10 years ago he was twice her age. What are the current ages of the siblings?

Answers

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

a quadrilateral with two right angles must be an a trapezoid a square a rectangle or no classification guaranteed

Answers

Answer:

No classification guaranteed

Step-by-step explanation:

A parallelogram is a quadrilateral with 2 pairs of parrallel sides.

A rectangle has 4 right angles

A square has all 4 sides being congruent

A trapezoid only needs 1 pair of parrallel lines. However some trapezoids have no right angles but some do. In the context of your question it is probably a trapezoid. However, it is no classification guaranteed.

Is through BYU IS?

The correct option is Option A: a quadrilateral with only two right angles is a trapezoid.

What is a trapezoid?

The quadrilateral whose one pair of opposite sides are parallel is called the trapezoid.

So, if one side of the trapezoid touches the parallel side at right angles then it will form 90° with both of the parallel lines. Then two right angles will be formed in the quadrilateral.

A trapezoid is only required quadrilateral to have a pair of parallel sides. However, a trapezoid can have one of the sides connecting the two parallel sides and perpendicular to the parallel sides which would give two right angles. The picture is given below.

Therefore quadrilateral with only two right angles is a trapezoid.

Learn more about Trapezoid

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2 4/5-( -2 1/4)
Can someone please help me solve this and explain.. I’m so confused

Answers

Answer:

5 1/20

Step-by-step explanation:

2 ⅘=2+4/5

2 ¼=2+1/4

So: 2 ⅘-(-2 ¼)=

2 ⅘ + 2 ¼=

2+4/5+2+1/4=

4+(4/5+1/4)=

4+21/20=

4+(20+1)/20=

4+(1+1/20)=

5 1/20

In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such that ATC = 40° and BTC = 56°. If BT is 29 m longer than AT, find
(a) the height of the building,
(b) the distance AB.

Answers

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30, while 3,000 shirts can be sold at a price of $5. Find a linear equation in the form p(n)

Answers

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

Can someone help me on this please

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 2A/h – b2

Step-by-step explanation:

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