Question

Diketahui f(x) = x^2 - 3 , h(x) = 2x. ( f°g°h)(x) = 4x^2 - 4.
Tentukan fungsi g(x)

Answer 1

(f○g○h)(x) = 4x^2 - 4
f(g(h(x))) = 4x^2 - 4
f(g(2x)) = 4x^2 - 4
[g(2x)]^2 - 3 = 4x^2 - 4
[g(2x)]^2 = 4x^2 - 1
g(2x) = akar(4x^2 - 1)
g(2x) = akar((2x)^2 - 1)
g(x) = akar(x^2 - 1)

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