Diketahui fungsi f(x) = 3x – 1 dan g(x) = 2x2 – 3 . Komposisi fungsi (g o f) (x)
Matematika
MuhammadElang123
Pertanyaan
Diketahui fungsi f(x) = 3x – 1 dan g(x) = 2x2 – 3 . Komposisi fungsi (g o f) (x)
1 Jawaban
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1. Jawaban dnnyz07
(g o f)(x) =g(f(x))
g(x) = 2x^2 - 3
f(x) = 3x - 1
g(3x - 1) = 2 × (3x -1)^2 - 3
(3x - 1)(3x - 1)
= 9x^2 - 3x - 3x + 1
= 9x^2 - 6x + 1
= 2(9x^2 - 6x + 1) - 3
= 18x^2 - 12x + 2 - 3
( g o f )(x) = 18x^2 - 12x - 1