(hofog)(2) f(x)=5x-3 g(x)=x-1 h(x) =2x'2+1
Matematika
kenzokazumi2660
Pertanyaan
(hofog)(2) f(x)=5x-3 g(x)=x-1 h(x) =2x'2+1
1 Jawaban
-
1. Jawaban Flawlyara
Mapel Matematika
Bab Komposisi Fungsi
f(x)=5x-3 g(x)=x-1 h(x) =2x'2+1
(hofog)(x) = (h(f(g(x)))
= h(5(x-1) - 3)
= h(5x - 5 - 3)
= h(5x - 8)
= 2(5x - 8)^2 + 1
= 2(25x^2 - 80x + 64) + 1
= 50x^2 - 160x + 128 + 1
= 50x^2 - 160x + 129
(hofog)(2) = 50(2)^2 - 160(2) + 129 = 200 - 320 + 129 = 9