6.9 Fake Quiz

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

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 always becomes the domain of its inverse.

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

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

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

What is one way to determine 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

Was the inverse function found correctly?

• no

• yes

FInd the inverse of the function.
 $f\left(x\right)=\frac{3x-15}{2}$  

•  $f^{-1}\left(x\right)=-x-5$  

•  $f^{-1}\left(x\right)=3x+5$  

•  $f^{-1}\left(x\right)=\frac{15+2x}{3}$  

•  $f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$  

Are these functions inverses?

• No

• Yes

• No way to tell

Which graph represents the functions f(x) and f^-1(x)?

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