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4.04 Inverses of linear functions

Adaptive
Worksheet

Interactive practice questions

Consider the function $f\left(x\right)=x-6$f(x)=x6.

Which of the following is an inverse function for $f\left(x\right)$f(x)?

$f^{-1}\left(x\right)=\frac{x}{6}$f1(x)=x6

A

$f^{-1}\left(x\right)=6x$f1(x)=6x

B

$f^{-1}\left(x\right)=x+6$f1(x)=x+6

C

$f^{-1}\left(x\right)=\sqrt[6]{x}$f1(x)=6x

D

$f^{-1}\left(x\right)=6-x$f1(x)=6x

E

$f^{-1}\left(x\right)=x^6$f1(x)=x6

F
Easy
< 1 min

Find the inverse function of $f\left(x\right)=7x$f(x)=7x by letting $y=f^{-1}(x)$y=f1(x).

Easy
1 min

Find the inverse function of $y=-8x+6$y=8x+6.

Easy
1 min

Find the inverse function of $f\left(x\right)=7x-8$f(x)=7x8 by letting $y=f^{-1}(x)$y=f1(x).

Medium
1 min
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Outcomes

HSF.BF.B.4

Find inverse functions.

HSF.BF.B.4.A

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

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