SOLUTION: At what value of x does the graph of the function F(x) have a vertical asymptote? F(x)=1/x-7

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Question 397830: At what value of x does the graph of the function F(x) have a vertical asymptote?


F(x)=1/x-7
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Please put parentheses wherever necessary...this makes sure that I or other tutors don't question whether you mean f%28x%29+=+1%2F%28x-7%29 or f%28x%29+=+1%2Fx+-+7.

In either case, the vertical asymptote occurs when f%28x%29+=+b%2F0 for nonzero b. This means, set the denominator to zero. This can imply x = 7 if f%28x%29+=+1%2F%28x-7%29 or x = 0 if f%28x%29+=+1%2Fx+-+7. In either case there is a nonzero numerator.