Question

Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h +0.

h
f(x) = 5x² + 2
f(a) =
f(a+h) =
f(a+h)-f(a) =
h

Answer 1

`f(a)=\boxed{5a^(2)+2}\\\\f(a+h)=5(a+h)^(2)+2=5(a^(2)+2ah+h^(2))+2=\boxed{5a^2 + 10ah+5h^2 +2}\\\\f(a+h)-f(a)=(5a^2 + 10ah+5h^2 +2)-(5a^2 +2)=\boxed{10ah+5h^2}`