Inverses of Functions

Find the inverse of f(x)=2x+4

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

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

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

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

Find the inverse of f(x)=x-7

• $f^{-1}\left(x\right)=7$

• $f^{-1}\left(x\right)=\frac{1}{7}x$

• $f^{-1}\left(x\right)=\frac{1}{7}x+7$

• $f^{-1}\left(x\right)=x+7$

Find the inverse of the function: f(x)=4x-5

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

• $f^{-1}\left(x\right)=-4x+5$

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

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

Is g(x) the inverse of f(x)?

• Yes

• No

Is g(x) the inverse of f(x)?

• Yes

• No

Are these lines inverses of each other?

• Yes they are inverses

• No they're not inverses

What is the second step in finding the equation of the inverse of a function?

• get x by itself

• switch x and y

• solve for y

• write the function in inverse function notation

What's the notation for the inverse of g(x)?

• f(x)

• f^-1(x)

• y

• g^-1(x)

When two functions are inverses of each other, their graphs reflect over...

• y=x

• x-axis

• y-axis

• $y=x^2$

Which table describes the inverse of the function described in this table?

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