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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 369 (page 1062)

In the following exercises, find the inverse of each function.
$f (x) = 6 x - 11$

Short Answer

Expert verified

The inverse is $f^{- 1} (x) = \frac{y + 11}{6}$

Step by step solution

01

Step 1. Given

A function is given as $f (x) = 6 x - 11$

02

Step 2. Calculation

Let $y = f (x)$ ,

$y = 6 x - 11$

Find the value of $x$ in terms of $y$ ,

$y = 6 x - 11 6 x = y + 11 x = \frac{y + 11}{6}$

Therefore the inverse is $f^{- 1} (x) = \frac{y + 11}{6}$

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