Answer :
For inverse functions f(g(x)) = g(f(x)) = x
f(g(x)) = 4 - 3/2 (1/2 x + 3/2) = 4 - 3/4 x - 9/4 = 7/4 - 3/4x
Therefore, the functions are not inverses.
f(g(x)) = 4 - 3/2 (1/2 x + 3/2) = 4 - 3/4 x - 9/4 = 7/4 - 3/4x
Therefore, the functions are not inverses.