bantu jawab plis butuh cepat
Answer (1)
Jawaban: soal komposisi fungsi ini satu per satu dengan langkah-langkah yang detail: Diketahui: - f(x) = 3x - 4- g(x) = 2x + 1- h(x) = 3 - x a. (f o g o h)(x) = f(g(h(x))) 1. Cari g(h(x)) terlebih dahulu:- g(h(x)) = g(3 - x) = 2(3 - x) + 1 = 6 - 2x + 1 = 7 - 2x2. Kemudian, cari f(g(h(x))):- f(g(h(x))) = f(7 - 2x) = 3(7 - 2x) - 4 = 21 - 6x - 4 = 17 - 6x Jadi, (f o g o h)(x) = 17 - 6x b. (g o f o h)(x) = g(f(h(x))) 1. Cari f(h(x)) terlebih dahulu:- f(h(x)) = f(3 - x) = 3(3 - x) - 4 = 9 - 3x - 4 = 5 - 3x2. Kemudian, cari g(f(h(x))):- g(f(h(x))) = g(5 - 3x) = 2(5 - 3x) + 1 = 10 - 6x + 1 = 11 - 6x Jadi, (g o f o h)(x) = 11 - 6x c. (h o g o f)(x) = h(g(f(x))) 1. Cari g(f(x)) terlebih dahulu:- g(f(x)) = g(3x - 4) = 2(3x - 4) + 1 = 6x - 8 + 1 = 6x - 72. Kemudian, cari h(g(f(x))):- h(g(f(x))) = h(6x - 7) = 3 - (6x - 7) = 3 - 6x + 7 = 10 - 6x Jadi, (h o g o f)(x) = 10 - 6x @Ara1412d. (f o g o h)(-2) = f(g(h(-2))) 1. Cari h(-2) terlebih dahulu:- h(-2) = 3 - (-2) = 3 + 2 = 52. Cari g(h(-2)):- g(h(-2)) = g(5) = 2(5) + 1 = 10 + 1 = 113. Kemudian, cari f(g(h(-2))):- f(g(h(-2))) = f(11) = 3(11) - 4 = 33 - 4 = 29 Jadi, (f o g o h)(-2) = 29 e. (h o g o f)(5) = h(g(f(5))) 1. Cari f(5) terlebih dahulu:- f(5) = 3(5) - 4 = 15 - 4 = 112. Cari g(f(5)):- g(f(5)) = g(11) = 2(11) + 1 = 22 + 1 = 233. Kemudian, cari h(g(f(5))):- h(g(f(5))) = h(23) = 3 - 23 = -20 Jadi, (h o g o f)(5) = -20
