Question

f(x)= -3x^2+5x-2

Find f(x+h)/h

Answer 1

f(x+h) = -3(x+h)^2 + 5(x+h) - 2

= -3x^2 - 6xh - 3h^2 + 5x + 5h - 2

f(x+h)/h
= (-3x^2 - 6xh - 3h^2 + 5x + 5h - 2 + 3x^2 - 5x + 2)/h
= (-6xh - 3h^2 + 5h)/h
= -h(6x + 3h - 5)/h
= -6x - 3h + 5