For f (x) = x {}^(2) - x + 1 find f(2 + h) - f(2) / h

Question

For

`f (x) = x {}^(2) - x + 1`
find

`f(2 + h) - f(2) / h`

Answer 1

`f (x) = x {}^(2) - x + 1\\ f(2 + h) ={(2 + h)}^(2) - (2 + h) + 1 \\ f(2 + h) = {h}^(2) + 3 * {h} + 3`


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

so you do the calculations and you get the result