Question

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

Answer 1

`\boxed{A.\:\:y=(2x+7)/(x-3)}`

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=(2x+7)/(x-3)`

The correct answer is A.

Answer 2

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

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