Jika (fog) (x) = x +1 dan f(x-2) = (x-1)/(x-2). Maka tentukan nilai g-1(2)
Matematika
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Pertanyaan
Jika (fog) (x) = x +1 dan f(x-2) = (x-1)/(x-2). Maka tentukan nilai g-1(2)
1 Jawaban
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1. Jawaban Phinter
f(x-2)=x-1/x-2
f(x-2+2)=x+2-1/x+2-2
f(x)=x+1/x
f(g(x))=g(x)+1/g(x)
x+1=g(x)+1/g(x)
g(x).x+g(x)=g(x)+1
g(x)=1/x
y=1/x
x=1/y
g-1(x)=1/x
g-1(2)=1/2