Question

Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (h(x)) and. g (f (x))

Answer 1

F((h(x))  =   2(x^2 + 1) - 1 =   2x^2 + 1     (replace the x in f(x) by h(x))

g ( f(x))  =   3(2x - 1) = 6x - 3          (replace the x in g(x) by f(x))