Answer
$
f(1-a)=a-a^2
$
Work Step by Step
Evaluate the function at $x=a$, in $f(x)=\frac{a x}{a+x}$.
$$
f(1-a)=\frac{a(1-a)}{a+(1-a)}=a(1-a)=a-a^2
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 77: 41
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