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Algebra 2, Need help Fast

Algebra 2, Need help Fast-example-1

1 Answer

3 votes

Answer:


- 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}

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