The Inverse of Functions

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

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CCSS.HSF-BF.B.4A

Find the inverse
f(x)=2x-2

• f^-1(x)=1/2x+1

• f^-1(x)=-2-1/2x

• f^-1(x)=-7/3x-20/3

• 2-2/5x

Tags

CCSS.HSF-BF.B.4A

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

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

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

Tags

CCSS.HSF-BF.B.4B

Are the blue and red graphs inverse functions?

• yes

• no

• no way to tell

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CCSS.HSF-BF.B.4B

An ​ (a)   takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b)   a function

• function

• inverse

• 2 or more

• undoing

Tags

CCSS.HSF-BF.B.4C

Was the inverse function found correctly?

• no,

• yes

Tags

CCSS.HSF-BF.B.4A

• All real numbers

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CCSS.HSF-BF.B.4D

Tags

CCSS.HSF-BF.B.4C