given f(x) = x^2 + 3x simplify the expression f(x+h) - f(x) / h

Question

given f(x) = x^^2 + 3x simplify the expression f(x+h) - f(x) / h

Answer 1

(x + h)² + 3(x + h) - (x² + 3x) = x² + 2xh + h² + 3x + 3h - x² - 3x

2xh + h² + 3h

Division by h gives: 2x + 3 + h