Answer
$f(g(x))= f(1/x)= x/(x^2+1)$
$Domain:x\ne0$
$g(f(x))= g(x/(1+x^2))=(1+x^2)/x$
$Domain: x\ne0$
Work Step by Step
$f(g(x))= f(1/x)= x/(x^2+1)$
$Domain:x\ne0$
$g(f(x))= g(x/(1+x^2))=(1+x^2)/x$
$Domain: x\ne0$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2 - Page 25: 34
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