Find the value of $$ y $$ where the given function has a horizontal asymptote. If one does not exist, type "none". $$ \begin{array}{c}f(x)=\frac{x^{2}-x+6}{x^{2}-x+5} \ y=[?]\end{array} $$

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1. Both the numerator $$ x^2 - x + 6 $$ and the denominator $$ x^2 - x + 5 $$ are quadratic functions, meaning their degrees are equal.

2. When the degrees are the same, the horizontal asymptote is given by the ratio of the leading coefficients. In this case, the leading coefficient for both the numerator and the denominator is $$1$$.

3. Thus, the horizontal asymptote is:
$$
y = \frac{1}{1} = 1
$$
The horizontal asymptote is $$ y = 1 $$.

Find the value of where the given
function has a horizontal asymptote. If
one does not exist, type “none”.

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Find the value of where the given function has a horizontal asymptote. If one does not exist, type “none”.