## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 27

#### Answer

$f^{-1}(3)$ = 1

#### Work Step by Step

f(x) = 5 - 2x is one to one Now find the inverse of f(x) y = 5 - 2x y - 5 = -2x $\frac{y - 5}{-2}$ = x $f^{-1}(x)$ = $\frac{x - 5}{-2}$ $f^{-1}(3)$ = $\frac{3 - 5}{-2}$ $f^{-1}(3)$ = 1

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