Question

F(x)=4- 3/2x g(x)=1/2x+3/2

determine if the functions are inverses of each other using the composition of functions

Answer 1

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.