Math  /  Algebra

Question1. f(x)=1x5f(x)=\frac{1}{x-5} \Rightarrow
Undefined value(s): \qquad Domain: \qquad x5x \neq 5 Vertical asymptote(s): \qquad x=5x=5
Removable discontinuity points(s): \qquad none
Horizontal asymptote(s): \qquad

Studdy Solution
Determine horizontal asymptotes:
For rational functions, horizontal asymptotes are determined by the degrees of the numerator and the denominator. The degree of the numerator is 0 (since it is a constant 1), and the degree of the denominator is 1 (since it is x5 x - 5 ).
Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is:
y=0 y = 0
The horizontal asymptote is y=0 y = 0 .

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