Understanding functions

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CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -3x²+5

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CCSS.HSF-BF.B.4A

What does it mean to find the inverse of a function?

• Each output becomes the input into the inverse.

• All the inputs and outputs become negative

• Each input goes into two different functions.

• The function and the inverse are the same "machine"

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CCSS.HSF-BF.B.4A

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CCSS.HSF-BF.B.4A

What is the inverse of

 $c\left(x\right)=\log\left(x\right)$  

•  $c^{-1}\left(x\right)=x^e$  

•  $c^{-1}\left(x\right)=\ln x$  

•  $c^{-1}\left(x\right)=x^{10}$  

•  $c^{-1}\left(x\right)=10^x$  

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CCSS.HSF-BF.B.4A

Find the inverse of  $f(x)=4x$  

• $f^{-1}(x)=\frac{x}{4}$

• $f^{-1}(x)=4$

• $f^{-1}\left(x\right)=\frac{1}{4}$

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CCSS.HSF-BF.B.4A

Find the inverse of

f(x)=(x+12)²

• f^-1(x)=whTA

• f^-1(x)=X-12

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CCSS.HSF-BF.B.4A

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CCSS.HSF-BF.B.4A

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

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

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the following function?

 $f\left(x\right)=\left(x+3\right)^3$  

•  $f^{-1}\left(x\right)=^3\sqrt{x}-3$  

•  $f^{-1}\left(x\right)=^3\sqrt{x+12}+11$  

•  $f^{-1}\left(x\right)=\frac{1}{4}^{\ 3}\sqrt{x+16}-2$  

•  $f^{-1}\left(x\right)=^3\sqrt{x}+3$  

Tags

CCSS.HSF-BF.B.4A