Evaluate the difference quotient for the given function. f(x)= x^(2) +1, f(4+h)-f(4)/h

Question

Evaluate the difference quotient for the given function.
`f(x)= x^(2) +1, f(4+h)-f(4)/h`

Answer 1

`\frac{f(4+h)-f(4)}h=\frac{((4+h)^2+1)-(4^2+1)}h=\frac{16+8h+h^2+1-16-1}h=\frac{8h+h^2}h=8+h`