Asked by TP
I'm having some troubles. I can't think of an example to this question.
<i>Give an exmaple of a quadratic whose reciprocal has no vertical asymptotes</i>
I think it's 1/x^2. The question says vertical <b>asymptotes</b> so I'm assuming they mean there will only be one. But I don't think I'm right.
<i>Give an exmaple of a quadratic whose reciprocal has no vertical asymptotes</i>
I think it's 1/x^2. The question says vertical <b>asymptotes</b> so I'm assuming they mean there will only be one. But I don't think I'm right.
Answers
Answered by
Reiny
Consider the quadratic function
f(x) = x^2 + 5
the reciprocal function would be g(x) = 1/(x^2 + 5)
there is no real number which would make the denominator zero, the condition for vertical asymptotes.
So there is your example, there would be countless of others
f(x) = x^2 + 5
the reciprocal function would be g(x) = 1/(x^2 + 5)
there is no real number which would make the denominator zero, the condition for vertical asymptotes.
So there is your example, there would be countless of others
Answered by
TP
Thank you.
Answered by
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