What does it mean to find the inverse of a function?

the x's and y's are divided by 2

the x's and y's are made negative

FInd the inverse of the function. f ( x ) = 3 x − 15 2 f\left(x\right)=\frac{3x-15}{2} f ( x ) = 2 3 x − 1 5

f − 1 ( x ) = 15 + 2 x 3 f^{-1}\left(x\right)=\frac{15+2x}{3} f − 1 ( x ) = 3 1 5 + 2 x

f − 1 ( x ) = − x − 5 f^{-1}\left(x\right)=-x-5 f − 1 ( x ) = − x − 5

f − 1 ( x ) = 3 x + 5 f^{-1}\left(x\right)=3x+5 f − 1 ( x ) = 3 x + 5

f − 1 ( x ) = 2 3 x − 19 3 f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3} f − 1 ( x ) = 3 2 x − 3 1 9

Find the inverse of the function. f ( n ) = − 4 − 2 5 n f\left(n\right)=-4-\frac{2}{5}n f ( n ) = − 4 − 5 2 n

f − 1 ( n ) = − 5 2 n − 10 f^{-1}\left(n\right)=-\frac{5}{2}n-10 f − 1 ( n ) = − 2 5 n − 1 0

f − 1 ( n ) = − 6 − 5 n 2 f^{-1}\left(n\right)=\frac{-6-5n}{2} f − 1 ( n ) = 2 − 6 − 5 n

f − 1 ( n ) = 3 n − 4 f^{-1}\left(n\right)=3n-4 f − 1 ( n ) = 3 n − 4

f − 1 ( n ) = − 2 n − 4 5 f^{-1}\left(n\right)=\frac{-2n-4}{5} f − 1 ( n ) = 5 − 2 n − 4

h ( x ) = − 2 x − 1 − 3 h\left(x\right)=-\frac{2}{x-1}-3 h ( x ) = − x − 1 2 − 3 Find the inverse of the function.

h − 1 ( x ) = 2 − x − 3 + 1 h^{-1}\left(x\right)=\frac{2}{-x-3}+1 h − 1 ( x ) = − x − 3 2 + 1

h − 1 ( x ) = − 2 x + 2 − 1 h^{-1}\left(x\right)=-\frac{2}{x+2}-1 h − 1 ( x ) = − x + 2 2 − 1

h − 1 ( x ) = 2 − x + 3 h^{-1}\left(x\right)=\frac{2}{-x+3} h − 1 ( x ) = − x + 3 2

h − 1 ( x ) = 3 − x − 3 − 2 h^{-1}\left(x\right)=\frac{3}{-x-3}-2 h − 1 ( x ) = − x − 3 3 − 2

Which of the following best describes the graph?

They are reflected over y=x, but they are not both functions.

They are both functions, but not inverse functions.

They are not reflected over y=x, and they are not both functions.

Inverse Functions

Authored by Penny Turner

Mathematics

10th - 12th Grade

CCSS covered

Used 69+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The inverse of the function f(x) is written as ...

f ^-1(x)

f ²(x)

f '(x)

f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The inverse has been reflected over which line?

y = x

x = 0

y = 0

x = -y

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT TRUE about inverse functions?

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function always becomes the domain of its inverse.

The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

solve for y

replace y with f^-1(x)

solve for x

find the greatest common factor

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What are the missing values if g(x)=f^-1(x)?

(9,-5)

(-9,-5)

(5,9)

(-9,5)

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

(1, 4) and (4, 6)

(-4, -1) and (-6, -4)

(-1, -4) and (-4, -6)

(4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the inverse of
f(x) = 1/4x - 7

f^-1(x) = 4x + 7

f^-1(x) = -4x + 28

f^-1(x) = -4x - 7

f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

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Inverse Functions

The inverse of the function f(x) is written as ...

The inverse has been reflected over which line?

Which of the following is NOT TRUE about inverse functions?

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

What are the missing values if g(x)=f^-1(x)?

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Find the inverse of
f(x) = 1/4x - 7

Are the following inverses of each other?

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

What does it mean to find the inverse of a function?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Inverse Functions

The inverse of the function f(x) is written as ...

The inverse has been reflected over which line?

Which of the following is NOT TRUE about inverse functions?

When finding the inverse of a relation, 1st you replace f(x) with y2nd switch the x's and y'sWhat do you do next?

What are the missing values if g(x)=f-1(x)?

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?

Find the inverse of f(x) = 1/4x - 7

Are the following inverses of each other?

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

What does it mean to find the inverse of a function?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

What are the missing values if g(x)=f^-1(x)?

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Find the inverse of
f(x) = 1/4x - 7