find the horizontal asymptote.\ny = \\frac{4x + 12}{4x - 12}\ny = ?

Explanation:

Step1: Identify degrees of polynomials

The numerator $4x + 12$ and denominator $4x-12$ are both linear (degree 1).

Step2: Use horizontal - asymptote rule for equal - degree polynomials

For a rational function $\frac{f(x)}{g(x)}$ where $\text{deg}(f)=\text{deg}(g)=n$, the horizontal asymptote is $y = \frac{a_n}{b_n}$, where $a_n$ and $b_n$ are the leading coefficients of $f(x)$ and $g(x)$ respectively. Here, $a_n = 4$ and $b_n=4$. So, $y=\frac{4}{4}$

Answer:

$y = 1$