Friday 11/13: Inverse Functions

Which function represents the inverse of function f below?

 $f\left(x\right)=3x+5$  

•  $q\left(x\right)=\frac{1}{3}x+\frac{5}{3}$  

•  $p\left(x\right)=\ \frac{1}{3}x-\frac{5}{3}$  

•  $r\left(x\right)=-3x-5$  

•  $s\left(x\right)=\frac{1}{3x+5}$  

Tags

CCSS.HSF-BF.B.4A

Ethan used the following steps to find the inverse of f, but he thinks he made an error.

• In step 5, Ethan should have multiplied each side of the equation by 7.

• In step 6, Ethan should have switched x and y.

• Ethan did not make any errors.

• In step 4, Ethan should have subtracted 5 from each side.

Tags

CCSS.HSF-BF.B.4A

Consider this function.

 $f\left(x\right)=x+4$  
Which graph represents the inverse of function f?

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Tags

CCSS.HSF-BF.B.4C

This set of ordered pairs defines a function.

{(-49,7), (-56,8), (-63,9), (-70,10)}

Which table represents the inverse of the function defined by the ordered pairs?

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Tags

CCSS.HSF-BF.B.4C

 $f\left(x\right)=\frac{10}{9}x+11$  

What is the inverse of function f?

•  $f^{-1}\left(x\right)=\frac{9x-99}{10}$  

•  $f^{-1}\left(x\right)=\frac{10x-110}{9}$  

•  $f^{-1}\left(x\right)=\frac{9x+11}{10}$  

•  $f^{-1}\left(x\right)=\frac{9}{10}x+11$  

Tags

CCSS.HSF-BF.B.4A

If the point (-8,3) is a solution of function f, then the point (__,__) is a solution to the inverse of f.

Tags

CCSS.HSF-BF.B.4C

If the x- and y-values in each ordered pair of a function are interchanged, what is the resulting set of ordered pairs known as?

• a one-to-one function

• the inverse of a function

• an onto function

• the reciprocal of a function

Tags

CCSS.HSF-BF.B.4A

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Tags

CCSS.HSF-BF.B.4C

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Tags

CCSS.HSF-BF.B.4C

 $f\left(x\right)=\frac{4}{3}x+5$  

Which of the following is the inverse of ?

•  $f^{-1}\left(x\right)=\frac{3}{4}x+5$  

•  $f^{-1}\left(x\right)=\frac{3x+5}{4}$  

•  $f^{-1}\left(x\right)=\frac{3x-15}{4}$  

•  $f^{-1}\left(x\right)=\frac{4x-20}{3}$  

Tags

CCSS.HSF-BF.B.4A