diketahui himpunan bilangan real R dimana f(x)=2x-1 dan (gof)(x)=3x+1.tentukan fungsi g(x)

(gof) (x) = 3x+1
g(f(x)) = 3x+1
g(2x-1)=3x+1
misal
t = 2x-1
2x=t+1
x = t+1 / 2
maka
g(x) = 3(t+1 / 2)+1
=3t+3 /2 + 1
=3t+3+2 / 2
=3t+5 / 2
g(x) = 3x+5 / 2