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The function is .
The denominator of f is zero when .
So, the domain of f is all real numbers except .
The domain of f is all real numbers except .
The function is .
To find the y - intercept then x = 0.
\ (Write the original function)
(Substitute x = 0)
The y - intercept is .
The y - intercept is .
The function is .
The degree of the numerator is less than the degree of denominator, so the line y = 0 is a horizontal asymptote.
To find any vertical asymptotes, set the denominator equal to zero and solve the resulting equation for x.
\ (Set denominator equal to zero)
(Simplify)
The line is a vertical asymptotes of f(x) and the line
is a horizontal asymptotes of f(x).