Question

Given the function f(x)=2−4x−x^2, calculate

f(3+h)−f(3)/h

Answer 1

\[f(3)=2-12-9=-19\]
\[f(3+h)=2-4(3+h)-(3+h)^2=-h^2-10 h-19\]
\[f(3+h)-f(3)=-h^2-10h\]

Answer 2

divide by h, get
\[-h-10\]