Jika g(×) = 2x -5 dan f(×) =x²-x+3 , fungsi komposisi (gof)(x) =…

Jika g(×) = 2x -5 dan f(×) =x²-x+3 , fungsi komposisi (gof)(x) =…

Jawaban:
(g o f)(x) = 2x^2 – 2x + 1

perhatikan konsep fungsi komposisi berikut:
(g o f)(x) = g(f(x))

Diketahui:
g(x) = 2x – 5
f(x) = x^2 – x + 3

Ditanya:
(g o f)(x) = … ?

Pembahasan:
(g o f)(x) = g(f(x))
(g o f)(x) = 2(f(x)) – 5
(g o f)(x) = 2(x^2 – x + 3) – 5
(g o f)(x) = 2x^2 – 2x + 6 – 5
(g o f)(x) = 2x^2 – 2x + 1
(g o f)(x) = 2x^2 – 2x + 1

Jadi, nilai dari (g o f)(x) = 2x^2 – 2x + 1