Diketahui f(x) = 7x + 2 dan g(x) = 1/2 (x + 3). Nilai dari (g o f)invers -1 (6) = A. - 3 B. - 2 C. - 1 D. 1 E. 2
Matematika
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Pertanyaan
Diketahui f(x) = 7x + 2 dan g(x) = 1/2 (x + 3). Nilai dari (g o f)invers -1 (6) =
A. - 3
B. - 2
C. - 1
D. 1
E. 2
A. - 3
B. - 2
C. - 1
D. 1
E. 2
1 Jawaban
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1. Jawaban Anonyme
Fungsi Invers
f(x) = 7x + 2
g(x) = 1/2 (x + 3)
(gof)(x) = 1/2 (7x + 2 + 3)
(gof)(x) = 1/2 (7x + 5)
2y = 7x + 5
7x = 2y - 5
x = (2y - 5)/7
(gof)^-1 (x) = (2x - 5)/7
(gof)^-1 (6) = (2.6 - 5)/7
(gof)^-1 (6) = 7/7 = 1