So in step one I got this...
g(f(x)) = 1/(-4x + 3) + 2
g(f(x)) = 1/(-4x + 3) + 2
-
g(f(x)) = 1/(-4x + 3) + 2
g(f(x)) - 2 = 1/(-4x + 3)
1/(g(f(x)) - 2) = -4x + 3
1/(g(f(x)) - 2) - 3 = -4x
-1/(4g(f(x)) + 8) + 3/4 = x
g(f(x)) - 2 = 1/(-4x + 3)
1/(g(f(x)) - 2) = -4x + 3
1/(g(f(x)) - 2) - 3 = -4x
-1/(4g(f(x)) + 8) + 3/4 = x