Answer
$f(f^{-1}(6))=6$
Work Step by Step
If $f$ has an inverse, and $f(a)=b$
then $f^{-1}(b)=a.$
That is,
$f(f^{-1}(b))=f(a)=b$
and
$f^{-1}(f(a))=f^{-1}(b)=a$
So,
$f(f^{-1}(6))=6$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 226: 34
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