Inverse Functions

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

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

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

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF.BF.B.4

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

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.4

If a function's inverse is also a function, what is true about the original function.

• It has an inverse

• It is one-to-one

• It passes the diagonal line test

• It is two-to-one

Tags

CCSS.HSF.BF.B.4

True or False

The function listed below has an inverse that is also a function.

 $f\left(x\right)=x^2$  

• True

• False

Tags

CCSS.HSF.BF.B.4

What is the first step in finding a functions inverse?

• Solve for y

• switch x and y

• solve for x

• turn f(x) into y

Tags

CCSS.HSF.BF.B.4

All functions have inverses that are also functions.

True or False

• True

• False

• Even

• Odd

Tags

CCSS.HSF.BF.B.4