Question: Find equations for the vertical asymptotes, if any, for the following rational function. \[ f(x)…

Find equations for the vertical asymptotes, if any, for the following rational function.

\[ f(x) = \frac{1}{x - 7} \]

Answer

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Separate multiple equations with a comma.

Solution

To find the vertical asymptotes, set the denominator equal to zero. \[ x - 7 = 0 & \] Solving for \( x \), \[ x = 7 & \] Therefore, the vertical asymptote is \( x = 7 \).