Diketahui f(x) = 2x + 3 dan g(x) = x2 – 5x + 2, maka (g o f)(x) =
Diketahui f(x) = 2x + 3 dan g(x) = x2 – 5x + 2, maka (g o f)(x) = ….
A. 4x2 + 22x + 26
B. 4x2 + 2x – 4
C. 2x2 – 10x + 7
D. x2 – 7x – 1
E. x2 – 3x + 5
Pembahasan:
f(x) = 2x + 3
g(x) = x2 – 5x + 2
(g o f)(x)
= g(f(x))
= g(2x + 3)
= (2x + 3)2 – 5(2x + 3) + 2
= 4x2 + 12x + 9 – 10x – 15 + 2
= 4x2 + 2x – 4
Jawaban: B
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