Question

Let f(x)=x^2+4. Find
f(x+h)−f(x)
h
if
h≠0
. Simplify your answer.

Answer 1

\(\frac{(x+h)^2+4-x^2-4}{h}=\frac{x^2+2xh+h^2+4-x^2-4}{h}=\frac{2xh+h^2}{h}=2x+h\)