Diketahui f(x) = 2x - 7 dan g(x) = 4 - 3x. Jika (g o f)(a) = 7, nilai a =
Diketahui f(x) = 2x - 7 dan g(x) = 4 - 3x. Jika (g o f)(a) = 7, nilai a = ….
A. -2
B. -1
C. 1
D. 2
E. 3
Pembahasan:
f(x) = 2x – 7
g(x) = 4 – 3x
(g o f)(a) = 7
a = …. ?
(g o f)(a) = g(f(a))
⇔ 7 = g(2a – 7)
⇔ 7 = 4 – 3(2a – 7)
⇔ 7 = 4 – 6a + 21
⇔ 6a = 25 – 7
⇔ 6a = 18
⇔ a = 3
Jadi nilai a = 3.
Jawaban: E
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