Given:
[tex]y\text{ = }\frac{x^2\text{ + 6}}{4x^2\text{ -7}}[/tex]
The rule for horizontal asymptote is shown below:
For the given rational function, the degree of the numerator is equal to the degree of the denominator.
Hence, the horizontal asymptote is:
[tex]\begin{gathered} y\text{ = }\frac{1}{4} \\ \\ 1\text{ is the leading coefficient of the numerator} \\ and\text{ 4 is the leading coefficient of the denominator} \end{gathered}[/tex]
Answer:
[tex]y\text{ = }\frac{1}{4}\text{ \lparen Option A\rparen}[/tex]
