Question

find f(x+h) - f(x)/h
if f(x)=3x^2-2x+4
im having a hard time after i distribute everything!

Answer 1

3(x+h)^2 - 2(x+h) + 4 - (3x^2 - 2x +4) / h

3(h^2 + 2hx + x^2) - 2x - 2h + 4 - 3x^2 + 2x - 4/h

3h^2 + 6hx + 3x^2 - 2x - 2h + 4 - 3x^2 + 2x - 4 / h

3h^2 + 6hx - 2h/h

h(3h + 3x - 2 ) / h

h = 0 -> 3h + 3x - 2
3x-2
Like that ? xD

Answer 2

lol yep exactly like that i found my mistake i wasn't changing the signs in the second step , thanks!

Answer 3

yw (: