Question

Algebra 2, Need help Fast

Answer 1

Answer:

$- 2x - h$

Step-by-step explanation:

We are given a function $g(x)=2-x^2$. We want to find $(g(x+h)-g(x))/h$ To do so, first we need to work out the numerator

$g(x+h)=2-(x+h)^2$. Therefore

$g(x+h)-g(x)\implies 2-x^2-2xh-h^2-2x-x^2$

like terms cancel out leaving us with

• -2xh-h²=h(-2x-h)

So,

$\displaystyle\frac{g(x + h) + g(x)}{h} = \frac{ h( - 2x - h )}{h} = \boxed{ - 2x - h}$