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

Mapel : Matematika
Materi : Fungsi Komposisi
Kelas : 8, 10

f(x) = x / (x + 1)
g(x) = 1 /(2x - 1)

nilai fungsi (g o f) (x)
= g(f(x))

[tex] = g( \frac{x}{x + 2} ) \\ = \frac{1}{2( \frac{x }{x + 2} ) + 2} \\ = \frac{1}{( \frac{2x}{x + 2} ) + \frac{2(x + 2)}{(x + 2)} } \\ \\ = \frac{1}{( \frac{2x}{x + 2}) + \frac{2x + 4}{x + 2} } \\ \\ = \frac{1}{ \frac{4x + 4}{x + 2} } \\ \\ = \frac{x + 2}{4x + 4} [/tex]