berapakah fungsi komposisi f(x) o g(x) apabila: f(x) = (x-1)/x g(x) = x/(x-1)
Matematika
Rhodes1
Pertanyaan
berapakah fungsi komposisi f(x) o g(x) apabila:
f(x) = (x-1)/x
g(x) = x/(x-1)
f(x) = (x-1)/x
g(x) = x/(x-1)
1 Jawaban
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1. Jawaban mutiarasariang
[tex] \frac{ \frac{x}{x - 1} - 1 }{ \frac{x}{x - 1} } \\ = \frac{x - (x - 1)}{x - 1} \times \frac{x - 1}{x} \\ = \frac{x - x + 1}{x} \\ = \frac{1}{x} [/tex]