Question

Algebra 2, Need help Fast

Answer 1

`- 2x - h`

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(g(x + h) + g(x))/(h) = ( h( - 2x - h ))/(h) = \boxed{ - 2x - h}`