Inverses of Functions

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

Was the inverse function found correctly?

• No, should be $f^{-1}\left(x\right)$ = $\frac{\text{x-4}}{\text{3}}$

• Yes

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

• No way to tell from a graph

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

In an inverse function, the _____ and _______ are switched from the original

• f(x) and g(x)
• input and output
• positives and negatives
• slope and intercept

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

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

What is the inverse of f(x) = 2x - 3?

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Tags

CCSS.HSF.BF.B.4

What is the inverse of f(x) = $\frac{1}{3}x$ + 1? 

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Tags

CCSS.HSF.BF.B.4

What is the inverse of f(x) = $\frac{2x-6}{4}$ ? 

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Tags

CCSS.HSF.BF.B.4

What is the inverse of f(x) = x - 10 ?

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Tags

CCSS.HSF.BF.B.4