Tolong tentukan komposisi fungsi (fog)(x) yang no 6

Fungsi Komposisi


(f o g)(x) = f(g(x))

f(g(x))
= f( (x + 3)/(3x - 1))
=
[tex]5( \frac{x + 3}{3x - 1} ) + 2 \\ \\ = \frac{5x + 15}{3x - 1} + \frac{6x - 2}{3x - 1} \\ \\ = \frac{11x + 13}{3x - 1} [/tex]

Fungsi Komposisi

f(x) = 5x + 2
g(x) = (x + 3)/(3x - 1)

f(g(x))
= 5 (x + 3)/(3x - 1) + 2
= 5(x + 3)/(3x - 1) + 2(3x - 1)/(3x - 1)
= (5x + 15 + 6x - 2)/(3x - 1)
= (11x + 13)/(3x - 1) ✔