Answer
$f^{-1}(3)=1$
$f(f^{-1}(2))=2$
Work Step by Step
Let $f^{-1}(3)=a, f(a)=3,$
$a^3+a^2+a=3$
try $a=1$, LHS=$1^3+1^2+1=3$=RHS
$\therefore f^{-1}(3)=1$
Let $f^{-1}(2)=b, f(b)=2,$
$\therefore f(f^{-1}(2))=f(b)=2$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 1 - Section 1.5 - Inverse Functions and Logarithms - 1.5 Exercises - Page 66: 16
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
