Inverse Functions, Composition of Functions

Use the horizontal line test to determine whether the inverse of the graph is a function.

• Function

• Not a Function

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF-BF.B.4B

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

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF-BF.B.4A

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF-BF.B.4A

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

• f(g(x)) = 1

• f(g(x)) = x

• f(g(x)) = 0

• None of these.

Tags

CCSS.HSF-BF.A.1C

• Inverse Functions

• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

• Inverse Functions

• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4A

• Inverse Functions
• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function

Tags

CCSS.HSF-BF.B.4C