fungsi g: R>R dan h: R>R ditentukan g(x) = 2x+1. jika (g o h) (x) = 6x^2+ 2x +5 maka h (1)

Bab Fungsi Komposisi
Matematika SMA Kelas X

(goh) (x) = 6x² + 2x + 5
2 . h(x) + 1 = 6x² + 2x + 5
2 . h(x) = 6x² + 2x + 5 - 1
h(x) = (6x² + 2x + 4) / 2
h(x) = 3x² + x + 2
h(1) = 3 . 1² + 1 + 2
h(1) = 6

(g○h)(x) = 6x^2 + 2x + 5
g○(h(x)) = 2(h(x)) + 1 = 6x^2 + 2x + 5
2(h(x)) = 6x^2 + 2x + 5 - 1
2(h(x)) = 6x^2 + 2x + 4
h(x) = (6x^2 + 2x + 4) / 2
h(x) = 3x^2 + x + 2
h(1) = 3(1^2) + 1 + 2
= 3 + 3
= 6