Question 3
of 11 Step 1 of 1
Find equations for the vertical asymptotes, if any, for the following rational function.
\[
f(x)=\frac{3}{x-6}
\]

Answer

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Answer

So, the vertical asymptote of the function is \(\boxed{x = 6}\).

Steps

Step 1 ：Find equations for the vertical asymptotes, if any, for the following rational function: \(f(x)=\frac{3}{x-6}\).

Step 2 ：The vertical asymptote of the function is at the value of x that makes the denominator equal to zero.

Step 3 ：Solving the equation \(x-6=0\) gives \(x=6\).

Step 4 ：So, the vertical asymptote of the function is \(\boxed{x = 6}\).