One to One Functions and Inverse Functions

What is the inverse of this function?

• A

• B

• C

• D

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

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

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

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

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)

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

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

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

In order for two functions to be inverses, what must be true?

• f(x) = g(x)

• f(x) = g(x) = x

• f(g(x)) = g(f(x)) = x

• f(g(x)) = g(f(x)) = y

An inverse function... (select all that apply)

• Switches a function's domain and range

• Returns a function back to it's input

• Helps solve equations

• Can be found by switching x and y