Inverses of a Function

You restrict the domain when...

• The inverse is not a function

• The inverse is a function

Tags

CCSS.HSF-BF.B.4D

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

Tags

CCSS.HSF-BF.B.4A

Find the inverse: f(x) = x³-1

• f^-1(x)= ³√x+1

• f^-1(x)= ³√x-1

• f^-1(x)= (x-1)/3

• f^-1(x)= (x+1)/3

Tags

CCSS.HSF-BF.B.4A

A function has an inverse function if...

• It passes the Vertical Line Test

• It fails the Horizontal Line Test

• It passes the Horizontal Line Test

• It fails the Vertical Line Test

Graph the inverse (Hint: look at y=x)

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

• A.
• B.
• C.
• D.

Tags

CCSS.HSF-BF.B.4A

What's the name of the inverse of g(x)?

• f(x)

• f^-1(x)

• y

• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Are these functions inverses of each other?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A