Math problem 1 help

Question

For the function f(x)=−3x^2+3x+1, evaluate and fully simplify each of the following.

f(x+h)-f(x)/h

Answer 1

f(x+h) = -3(x+h)²+3(x+h)+1 = -3h^2-6hx-3x^2+3h+3x+1=

(f(x+h) - f(x))= -3h^2-6hx-3x^2+3h+3x+1

= (-6xh+3h²+3h)/h = -6x+3h+5