1 answer:
Answer:
(f o g)(x) = 4x^4 - 24x^2 + 37
(g o f)(x) = 16x^4 + 8x^2 - 2
Step-by-step explanation:
f(x) = 4x^2 + 1
g(x) = x^2 - 3
(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =
= 4(x^4 - 6x^2 + 9) + 1
= 4x^4 - 24x^2 + 37
(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =
= 16x^4 + 8x^2 - 2
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