Intro to Inverse 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.4

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function becomes the domain of its inverse.

• The domain of a function becomes the range of its inverse.

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CCSS.HSF.BF.B.4

When finding the inverse of a relation,

1st: replace f(x) with y 2nd: switch the x's and y's

What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

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CCSS.HSF.BF.B.4

Find the inverse function

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CCSS.HSF.BF.B.4

Find the inverse function

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CCSS.HSF.BF.B.4

Find the inverse function

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CCSS.HSF.BF.B.4

• Inverse Functions

• Not Inverse Functions

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CCSS.HSF.BF.B.4

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

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CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Was the inverse function found correctly?

• no,
• yes

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CCSS.HSF.BF.B.4

Which graph shows the inverse of the graph above?

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CCSS.HSF.BF.B.4

CCSS.HSF.IF.C.7