Find Inverse Functions and Relations

What is the inverse quadratic function?

• f^-1(x) = x²

• f^-1(x) = ±√x

• f^-1(x) = -x²

• It doesn't have an inverse.

• Inverse Functions

• Not Inverse Functions

Verify if and are inverses of each other.

f(x)=4+\frac{1}{3}x

g(x)=3x-12

SHOW YOUR WORK

• Inverse Functions

• Not Inverse Functions

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

To prove two functions are inverses of each other, both f(g(x)) and g(f(x)) should equal...

• 1

• x

• 0

• y

Use composition of functions to determine if f(x) and g(x) are inverse functions.

• yes

• no

Which of the following relations is a one-to-one function?

• (a)

• (b)

• (c)

• None of these

The relation in the graph is..

• a function, but not a one-to-one function.

• a one-to-one function.

• not a function

What is the inverse of the function f(x)=x+2

• f⁻¹(x) = x-2

• f⁻¹(x) = x+2

• f⁻¹(x) = -x+2

• f⁻¹(x) = -x-2

What is the inverse of the function f(x) = 2x + 4 ?

• f^-1(x) = 4(x -2)

• f^-1(x) = (x-4)/2

• f^-1(x) = x/2 - 4

• f^-1(x) = x/4 + 2