Question

x2 - 8
--------
x + 6 and x =-2

Answer 1

Have you considered substitution?

x+6 given x = -2 gives (-2) + 6 = 4

You do the numerator.

Note: Folks in the chats are interested mostly in talking about other things, rather than helping or studying. Sorry about that. We can't seem to change that behavior.

Answer 2

This is your new problem once you substitute x for -2

\[\frac{ -2\times2-8 }{ -2+6 }\]

Answer 3

Do you think you will be able to solve that?

Answer 4

I believe that would be \((-2)^{2} - 8\)

Answer 5

Maybe, the exponent sign was not placed, but most likely your right.

Answer 6

If yes, this is the problem

\[\frac{ -2^2-8 }{ -2+6 }\]

Answer 7

Just as a side note, if you are programming computers, the notation "-2^2" can be a little ambiguous. Your specific language should tell you what it means.

In some, the "Unary Minus" is very high precedence and you get (-2)^2.
In others, evaluation may be strictly right-to-left and you get -(2^2).

In my opinion, this situation is important to clarify with parentheses. Make sure whoever is reading your work understands what you mean by -2^2.

End of Side Note.