Question

Diketahui f(x) = x + 2 dan g(x) = 3x - 1 , fungsi (gof)-¹(x) adalah

Answer 1

F(x) = x+2
g(x) = 3x-1

(gof)(x) = g[f(x)]
(gof)(x) = g(x+2)
(gof)(x) = 3(x+2)-1
(gof)(x) = 3x+6-1
(gof)(x) = 3x+5

(gof)(x) = 3x+5
y = 3x+5
3x = y-5
x = (y-5)/3
(gof)^-1(x) = (x-5)/3