Answer:
Option c.
Step-by-step explanation:
We are given these following functions:
[tex]f(x) = 2x + 1[/tex]
[tex]g(x) = x^2 - 7[/tex]
Division:
The division of those functions is:
[tex]\frac{f}{g}(x) = \frac{2x + 1}{x^2-7}[/tex]
Domain:
We have a fraction, so we have to take the domain of the function in consideration. The denominator cannot be 0, thus:
[tex]x^2 - 7 \neq 0[/tex]
[tex]x^2 \neq 7[/tex]
[tex]x \neq \pm \sqrt{7}[/tex]
Thus, the correct answer is given by option C.
