Respuesta :
The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;
A: y = 0
We are given the function;
f(x) = (x - 2)/(x - 3)²
Expanding the denominator gives us;
f(x) = (x - 2)/(x² - 6x + 9)
The rules for a horizontal asymptote are;
- If the degree of the polynomials in both denominator and numerator of a rational function are the same, then the horizontal asymptote will be expressed as the quotient of coefficients of the highest degree terms.
- If the polynomial of the denominator has a larger degree than the numerator, then the horizontal asymptote will be y = 0.
In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.
Read more about horizontal asymptote at; https://brainly.com/question/6459599
