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
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 27
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