Matematika Jika f(x)=x-2 dan g(x)=x² + 3x-7, fungsi komposisi (gof)(x) =.... A. x+3x-9 B. x² + 4x-9 C. x-x-9 D. x²+2x-5 E x²+x-5

marisaaufderharulv – April 02, 2023

Jika f(x)=x-2 dan g(x)=x² + 3x-7, fungsi komposisi (gof)(x) =....

A. x+3x-9

B. x² + 4x-9 C. x-x-9

D. x²+2x-5

E x²+x-5

Jawab:

Penjelasan dengan langkah-langkah:

f(x) = x - 2

g(x) = x² + 3x - 7

(gof)(x) = g(f(x))

(gof)(x) = (f(x))² + 3(f(x)) - 7

(gof)(x) = (x - 2)² + 3(x - 2) - 7

(gof)(x) = x² - 4x + 4 + 3x - 6 - 7

(gof)(x) = x² - x - 9

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