Question

2 Points
if f(x) = x2 + 3x + 5, what is f(3 + h)?

Answer 1

h² + 9h + 23

Explanation:

Given

f(x) = x² + 3x + 5

To evaluate f(3 + h) substitute x = 3 + h into f(x), that is

f(3 + h) = (3 + h)² + 3(3 + h) + 5 ← expand (3 + h)² using FOIL

= 9 + 6h + h² + 9 + 3h + 5 ← collect like terms

= h² + 9h + 23