Tolong dibantu ya, tentukan dulu fungsi (fog) (x) kemudian inverskan
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Pertanyaan
Tolong dibantu ya, tentukan dulu fungsi (fog) (x) kemudian inverskan
1 Jawaban
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1. Jawaban Sutr1sn0
f(x) = 5x + 2
g(x) = 6 - 7x
(f○g)(x) = f(g(x))
= f(6 - 7x)
= 5(6 - 7x) + 2
= 30 - 35x + 2
= 32 - 35x
(f○g)(x) = 32 - 35x
y = 32 - 35x
35x = 32 - y
x = (32 - y)/35
(f○g)^-1(x) = (32 - x)/35
(f○g)^-1(-3) = (32 - (-3))/35
= (32 + 3)/35
= 35/35
= 1