# Math Help - F(x)

1. ## F(x)

if g(x) is x^2+3x-1 find (G(x+h)-G(x))/h

2. $g({\color{red}x}) = {\color{red}x}^2 + 3{\color{red}x} - 1$

To find g(x+h), just replace x + h with all the x's you see:
$g({\color{red}x+h}) = {\color{red}(x+h)}^2 + 3{\color{red}(x+h)} - 1 = \hdots$

You should now be able to algebraically simplify the expression $\frac{g(x+h) - g(x)}{h}$

3. All you have to do is substitute x + h into the function f, subtract f(x) from that, and then divide by h.

The substitution looks like this: $\frac{(x + h)^2 + 3(x + h) + 1 - x^2 - 3x - 1}{h}$

4. do u get h^2+2xh