Question

what is the horizontal asymptote of the function ( f(x)=\frac{(x - 2)}{(x - 3)^2} )?
( \bigcirc y = 0 )
( \bigcirc y = 1 )
( \bigcirc y = 2 )
( \bigcirc y = 3 )

Explanation:

Step1: Analyze the degrees of numerator and denominator

The degree of the numerator \(n = 1\) (for \(x - 2\)), and the degree of the denominator \(m=2\) (for \((x - 3)^2=x^{2}-6x + 9\)).

Step2: Apply the horizontal - asymptote rule

When \(n

Answer:

A. \(y = 0\)