Question

Can someone help? Ugh this math course I don’t get...

Answer 1

Answer:

The rational function satisfying the given conditions is contained in choice A

Step-by-step explanation:

The vertical asymptote is evaluated by determining the value of x that makes the function in the denominator equal to zero and in this case it is;x=3.

On the other hand, the leading coefficient of the function in the numerator avails information regarding the horizontal asymptote; in this case y=2

Answer 2

Answer:

$\boxed{A.\:\:y=\frac{2x+7}{x-3}}$

Step-by-step explanation:

If the rational function has a vertical asymptote at $x=3$.

Then the denominator of the rational function is $(x-3)$

If the function has a horizontal asymptote of $y=2$, then the leading coefficient of the numerator and the leading coefficient  of the denominator must be in the ratio $2:1$

The only function that has the above properties is

$y=\frac{2x+7}{x-3}$

The correct answer is A.