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If f(x)=(x-7)/(x^(2)-49), for what value...

If `f(x)=(x-7)/(x^(2)-49)`, for what value(s) of x does the graph of y=f(x) have a vertical asymptote?

A

`-7`

B

0

C

`-7,0,7`

D

`-7,7`

Text Solution

Verified by Experts

The correct Answer is:
A
Vertical asymptotes occur where the denominator is zero but the numberator is not. The denominator, `x^(2)-49`, factors into (x+7)(x-7). Since both the numerator and the denominator are zero when x=7, a vertical asymptote occurs only at x=-7.
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