diketahui f(x)=2x+5 dan (g o f) (x) = 6x+14 ,tentukan rumus fungsi g(x)

f(x) = 2x + 5
(g o f)(x) = 6x + 14

g(f(x)) = 6x + 14
g(2x + 5) = 6x + 14

misalkan 2x + 5 = a
2x = a - 5
6x = 3a - 15

g(a) = 3a - 15 + 14
g(a) = 3a - 1
g(x) = 3x - 1

semoga bermanfaat

(gof) (x) = 6x+14
g(f(x)) = 6x+14
g(2x+5)= 6x+14
misal t= 2x+5
x = t-5 / 2
sehingga
g(x) = 6(t-5 / 2)+14
= 3(t-5)+14
= 3t-15+14
= 3t-1
g(x) = 3x-1