diketahui f(x) = x/x+2 dan g(x) = 1/2x-1 maka (gof) (x) = ...

MAPEL : MATEMATIKA

KELAS : X

BAB : RELASI & FUNGSI
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Diketahui :
↪f(x) = x / (x + 2)
↪g(x) = 1 / (2x - 1)

Ditanya :
↪(g o f) (x) =...?

Jawaban. :
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(g o f) (x) = g(x / (x + 2)

[tex](g \: o \: f)(x) = \frac{1}{2( \frac{x}{x + 2} ) - 1} \\ \\ (g \: o \: f)(x) = \frac{1}{ \frac{2x}{x + 2} - \frac{x + 2}{x + 2} } \\ \\ (g \: o \: f)(x) = \frac{1}{ \frac{x - 2}{x + 2} } \\ \\ (g \: o \: f)(x) = \frac{x + 2}{x - 2} [/tex]