Answer
(H), $2x^2−12x+12$
Work Step by Step
The "x" that we plug into $g(x)$ is really $f(x)$, or $x-3$
$g(f(x)) = g(x-3) = 2*(x-3)^2 - 6 = 2*(x^2-6x+9) - 6 \\= 2x^2-12x+18-6 = 2x^2-12x+12$
The answer is (H), $2x^2-12x+12$
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
End-of-Course Assessment - Page 964: 4
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