Diketahui f(x)= x+1 dan g(x)=2x tentukan (fog) invers (x)
Matematika
Anggi171100
Pertanyaan
Diketahui f(x)= x+1 dan g(x)=2x tentukan (fog) invers (x)
1 Jawaban
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1. Jawaban arsetpopeye
f(x) = x + 1 dan g(x) = 2x
(f o g)(x) = f(g(x)) = g(x) + 1 = 2x + 1
2x + 1 = y => 2x = y - 1 => x = (y - 1)/2
(f o g)^-1(x) = (x - 1)/2 = 1/2 (x - 1)