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In Matematika / Sekolah Menengah Atas | 2025-08-19

Minta tolong bantuannya​

Asked by ahmadzackyperdana

Answer (1)

Jawaban:Diketahui: - f(x) = 7x + 5- g(x) = 2 - x- h(x) = (x + 2) / x a. (f o g)(x) = f(g(x)) - f(g(x)) = f(2 - x) = 7(2 - x) + 5- = 14 - 7x + 5- = 19 - 7x Jadi, (f o g)(x) = 19 - 7x   b. (g o f)(x) = g(f(x)) - g(f(x)) = g(7x + 5) = 2 - (7x + 5)- = 2 - 7x - 5- = -3 - 7x Jadi, (g o f)(x) = -3 - 7x   c. (f o h)(2) = f(h(2)) - h(2) = (2 + 2) / 2 = 4 / 2 = 2- f(h(2)) = f(2) = 7(2) + 5- = 14 + 5- = 19 Jadi, (f o h)(2) = 19   d. (g o h)(-1) = g(h(-1)) - h(-1) = (-1 + 2) / -1 = 1 / -1 = -1- g(h(-1)) = g(-1) = 2 - (-1)- = 2 + 1- = 3 Jadi, (g o h)(-1) = 3   e. (f o h o g)(-2) = f(h(g(-2))) 1. g(-2) = 2 - (-2) = 2 + 2 = 42. h(4) = (4 + 2) / 4 = 6 / 4 = 3/23. f(3/2) = 7(3/2) + 54. = 21/2 + 10/25. = 31/2 Jadi, (f o h o g)(-2) = 31/2

Answered by ara1412 | 2025-08-19