Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review: 23


$ f^{-1}(x)=\frac{x-11}{6}$

Work Step by Step

We are given the function, $f(x)=6x+11$. First, we must replace $f(x)$ with y. $y=6x+11$ Next, interchange x and y. $x=6y+11$ Next, solve for y by subtracting 11 from both sides. $6y=x-11$ Next divide both sides by 6. $y=\frac{x-11}{6}$ Finally, replace y with $f^{-1}(x)$. $ f^{-1}(x)=\frac{x-11}{6}$
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