Given f(x)=x^2 + x + 4 and h(x)= 3x +2, evaluate the composite function.

Question

f [h(x)]

Answer 1

f(h(x) )
= f(3x+2)
= (3x+2)^2 + (3x+2) + 4
= 9x^2 + 12x + 4 + 3x + 2 + 4
= 9x^2 + 15x + 10