diketahui f(x) = 3x-6 dan g(x)=2x+a. bila (fog)(x) = (gof)(x) maka a= a. 5 b. 1 c. -1 d. -5 e. -6
Matematika
01081
Pertanyaan
diketahui f(x) = 3x-6 dan g(x)=2x+a. bila (fog)(x) = (gof)(x) maka a=
a. 5
b. 1
c. -1
d. -5
e. -6
a. 5
b. 1
c. -1
d. -5
e. -6
2 Jawaban
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1. Jawaban steve666
f○g(x) = g○f(x)
f(2x+a)=g(3x-6)
3(2x+a)-6=2(3x-6) +a
6x+3a-6=6x-12+a
6x-6x+3a-a=-12+6
2a=-6
a=-3 -
2. Jawaban 4LL
Langsung aja y
(fog)(x) = f{g(x)}
= 3g(x) - 6
= 3(2x + a) - 6
= 6x + 3a - 6
(gof)(x) = g{f(x)}
= 2f(x) + a
= 2(3x - 6) + a
= 6x - 12 + a
(fog)(x) = (gof)(x)
6x + 3a - 6 = 6x - 12 + a
3a - 6 = -12 + a
3a - a = -12 + 6
2a = -6
a = -3
Jawaban gak ada
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