jika f(x-5)=x+2/x maka f^-1 (x) = ....
Matematika
maxayg85
Pertanyaan
jika f(x-5)=x+2/x maka f^-1 (x) = ....
1 Jawaban
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1. Jawaban EdiHeaven
f(x-5)= x + 2 / x
misal t = x-5
x= t+5
maka
f(x) = (t+5)+2 / (x+5)
f(x) = x + 7 / x+5
cari inversnya
y = x + 7 / x+5
y(x+5) = x+7
xy +5y = x+7
xy-x = -5y+7
x(y-1)=-5y+7
x = -5y+7 / y-1
f-ยน(x) = -5x+7 / x-1