Answer
$g(f(5z))=1000z^2-80z+3$
Work Step by Step
In order to find $g(f(5z))$ let's find $f(5z)$ first:
$f(5z) = 5(5z)^2-2(5z)=125z^2-10z$
Then subsitute in $g(x)$
$g(f(5z))=8(125z^2-10z)+3=1000z^2-80z+3$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 4 - Calculating the Derivative - 4.3 The Chain Rule - 4.3 Exercises - Page 225: 6
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