diketahui: f(x)= 3x² - 5x + 3 g(x)= 3x - 7 h(x)= 8x² +5 ditanya : (fohog)(x)

Jawaban:cari (f o h o g)(x) atau f(h(g(x))). 1. Cari h(g(x)):- g(x) = 3x - 7- h(x) = 8x² + 5- h(g(x)) = 8(3x - 7)² + 5- = 8(9x² - 42x + 49) + 5- = 72x² - 336x + 392 + 5- = 72x² - 336x + 3972. Cari f(h(g(x))):- f(x) = 3x² - 5x + 3- f(h(g(x))) = 3(72x² - 336x + 397)² - 5(72x² - 336x + 397) + 33. Sederhanakan (agak rumit):- (72x² - 336x + 397)² = (72x² - 336x + 397)(72x² - 336x + 397)- = 5184x⁴ - 48384x³ + 151392x² - 266688x + 157609- 3(5184x⁴ - 48384x³ + 151392x² - 266688x + 157609) = 15552x⁴ - 145152x³ + 454176x² - 800064x + 472827- -5(72x² - 336x + 397) = -360x² + 1680x - 19854. Gabungkan semua suku:- f(h(g(x))) = 15552x⁴ - 145152x³ + 454176x² - 800064x + 472827 - 360x² + 1680x - 1985 + 3- = 15552x⁴ - 145152x³ + 453816x² - 798384x + 470845 Jadi, (f o h o g)(x) = 15552x⁴ - 145152x³ + 453816x² - 798384x + 470845

Answered by ara1412 | 2025-08-20