(a) State the domain. Answer:
(b) State the vertical asymptote(s). Answer:
(c) State the horizontal asymptote. Answer:
Consider the given function.
Domain: The domain of a function f(x) is the complete set of possible values of the independent variable.
Now to find the domain of the given function f(x):
Begin by setting the denominator equal to zero and solve for x, we get
x – 3 = 0
x = 3
Therefore, the domain of the function is all real numbers except x = 3.
Vertical asymptotes: A vertical asymptote represents a value at which a rational function f(x) is undefined.
Now to find the vertical asymptotes of the given function f(x):
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