(f * g)(x) =
f(x) * g(x) =
(x^4 - 9)(x^3 + 9) =
x^7 + 9x^4 - 9x^3 - 81
(f o g)(x) = f(g(x))
f(x) = x^4 - 9
g(x) = x^3 + 9
f(g(x)) = (x^3 + 9)^4 - 9
f(g(x)) = x^12 + 36x^9 + 486x^6 + 2916x^3 + 6561 - 9
f(g(x)) = x^12 + 36x^9 + 486x^6 + 2916x^3 + 6552
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
(f * g)(x) =
f(x) * g(x) =
(x^4 - 9)(x^3 + 9) =
x^7 + 9x^4 - 9x^3 - 81
(f o g)(x) = f(g(x))
f(x) = x^4 - 9
g(x) = x^3 + 9
f(g(x)) = (x^3 + 9)^4 - 9
f(g(x)) = x^12 + 36x^9 + 486x^6 + 2916x^3 + 6561 - 9
f(g(x)) = x^12 + 36x^9 + 486x^6 + 2916x^3 + 6552