Inverses of Function Equations

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

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

Was the inverse function found correctly?

• no,

• yes

Find the inverse of the function
f(x) = 3x − 5

• f^-1(x)=3x +5

• f^-1(x)=(x+5)/3

• f^-1(x)=3y-5

• f^-1(x)=3y+5

What is the inverse of this function?

• A

• B

• C

• D

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

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

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

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

• True

• False

All functions have inverses that are also functions.

• True

• False

• Even

• Odd