Question

f (x) = x2- x+1 determine f(2+h) f(2) h diferente 0.

Answer 1

$f(2 + h) = (2 + h)^{2} - (2 + h) + 1 \\ f(2 + h) = {h}^{2} + 2h + 4 - 2 - h + 1 \\ f(2 + h) = {h}^{2} + h + 3$

$f(2) = {(2)}^{2} - (2) + 1 \\ f(2) =4 - 2 + 1 \\ f(2) =3$