f(x) = 2x^ + 3x - 5 dan g (x) = 3x-2 agar (gof ) (a) = -11 maka nilai a
Matematika
incesbaper
Pertanyaan
f(x) = 2x^ + 3x - 5 dan g (x) = 3x-2 agar (gof ) (a) = -11 maka nilai a
1 Jawaban
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1. Jawaban RexyGamaliel
f(x) = 2x² + 3x - 5
g(x) = 3x - 2
(gof)(x) = g(f(x))
= 3(f(x)) - 2
= 3(2x² + 3x - 5) - 2
= 6x² + 9x - 17
(gof)(a) = -11
6a² + 9a - 17 = -11
6a² + 9a - 6 = 0
2a² + 3a - 2 = 0
(2a - 1)(a + 2) = 0
a = 1/2
atau
a = -2