Question

Find (p•q)(x).
p(x) = x + 4
q(x) = 3x² + 2x

Answer 1

(p • q)(x) = 3x² + 2x + 4

Explanation:

(p • q)(x) same as p(q(x)) is the composite function obtained by applying the expression for q(x) in place of x in p(x)

We have
p(x) = x + 4

q(x) = 3x² + 2x

To find (p • q)(x)

wherever there is an x in p(x) substitute with 3x² + 2x

(p • q)(x) = x + 4

= (3x² + 2x) + 4

= 3x² + 2x + 4