Answer
$-t^{2}+4t+1$
Work Step by Step
We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at $x=t$, we can plug in $t$ to the function and evaluate directly.
$g(t)=-x^{2}+4x+1=-(t)^{2}+4(t)+1=-t^{2}+4t+1$
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter 2 - Section 2.6 - Function Notation and Linear Functions - 2.6 Exercises - Page 202: 28
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