Question

Please, I need help ASAP!

Answer 1

Answer:

A

Step-by-step explanation:

You can eliminate B and D because it’s using $\frac{g}{f}$, but the question is asking $\frac{f}{g}$. So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ $\sqrt{7}$ part of it is what makes it true.

The reason being is that the only thing that won’t make $\frac{2x+1}{x^{2}-7 }$ true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug $\sqrt{7}$ for x in the denominator you get: $\sqrt{7^{2} } -7$. The $\sqrt{7^{2} }$ part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal $\sqrt{7}$.

So the answer is A:  $\frac{2x+1}{x^{2}-7}$, $x\neq$ ± $\sqrt{7}$

There you go my friend!

I hope you understand and that this helps with your question! :)