Jika f(x) = x/x+1 dan g(x) = f(x - 1) maka (gof)(x) =
Matematika
Miko087
Pertanyaan
Jika f(x) = x/x+1 dan g(x) = f(x - 1) maka (gof)(x) =
1 Jawaban
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1. Jawaban pfthal
f(x) = x/(x+1)
g(x) = f(x-1)
berarti f(x-1) = (x-1)/(x)
jadi g(x) = (x-1)/(x)
maka (gof)(x) = (((x)/(x+1)) - 1) / ((x)/(x+1))
= (x - x - 1) / (x^2 + 1)
= -1/(x^2+1)