Posted by TP on .
I'm having some troubles. I can't think of an example to this question.
Give an exmaple of a quadratic whose reciprocal has no vertical asymptotes
I think it's 1/x^2. The question says vertical asymptotes so I'm assuming they mean there will only be one. But I don't think I'm right.

Maths  Reciprocals 
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 
Maths  Reciprocals 
TP,
Thank you.

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