dik : f(x) = x + 2 , g(x) = x^2 - 1, dan h(x) =4x
dit : A. ((fog) o h)(x)
B. (f o (goh))(x)
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= fog(4x)
= (4x)² + 1
= 16x² + 1
b.(fo(goh)) (x) = f(goh(x))
= f(16x² - 1)
= (16x² - 1) + 2
= 16x² + 1
f(x^2-1) --> (x^2-1)+2 = x^2+1 (masukkan nilai h ke hasil ini)
Jadi (4x)^2+1 = 16x^2+1
B. Kerjakan (goh)(x) dahulu.
(4x)^2-1 --> (16x^2) (masukkan nilai f ke hasil ini)
Jadi (16x^2-1)+2 = 16x^2+1
Kebetulan jawabannya sama.
Semoga membantu.