Precalculus help please?

Question

Thank you in advance!

Use the functions to evaluate the indicated expressions and simplify

f(x)=3x^2-2x g(x)=x^2+1

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

Answer 1

3(x+h)^2 - 2(x+h) = (x+h) [ 3(x+h)-2] = (x+h) [ 3x + 3h - 2]

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

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

subtracting f(x) = 3x^2 - 2x from that:

6xh + 3h^2 - 2h

dividing by h: 6x + 2h - 2

===========================================

(x+h)^2 + 1 = x^2 + 2xh + h^2 + 1

subtracting g(x) = x^2 + 1:

2xh

dividing by h :

2x