Question

Given f(x)=3x-2,g (x)= kx+3.Find k .so that fog=gof...​

Answer 1

fog = f(g(x)) = f(kx+3) = 3(kx+3)-2 = 3kx+7

gof = g(f(x)) = g(3x-2) = k(3x-2)+3 = 3kx-2k+3

fog = gof

3kx+7 = 3kx-2k+3

7 = 2k+3

2k = 4

k = 2