Maths - Reciprocals

posted by .

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 -

    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 -

    Thank you.

  • xzeauwqk hklyadfep -

    vdfw gzvnyqbwt wchm bkanvy vywnbzr fvwkphe glwctak

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Maths - Reciprocals

    1. Give an example of a quadtratic whose recirpocal has no vertical asymptotes Ans. y = x^2 - 2x + 3 2. Compare the vertex (or turning point) of the quadratic and the corresponding feature of the reciprocal. Write down your observation. …
  2. math

    PLease help! anyy would be appreciated !thx what is an example of a quadratic function that touches its axis and also its reciprocal?
  3. Math - asymptotes

    Identify all asymptotes. 1. y= 1 / 2-√x^2 - 3x the asymptotes I got were: vertical: 1 & 4 horizontal: 0 Is this it or are there more?
  4. Algebra 2

    Identify all horizontal and vertical asymptotes of the graph of the function. f(x)=x^2/x^2-4 I know the vertical asymptotes are x=2 and x=-2, but how do I find the horizontal asymptotes?
  5. Pre-Cal

    State the transformations. Identify holes, vertical asymptotes, and horizontal asymptotes of each. (I'm fine with the asymptotes, just need help with stating the trandformations) f(x)= (3x+9)/(x+2)
  6. math

    * Give a linear function with its zero at x = a, what is the equation of the vertical asymptote of its reciprocal function?
  7. math please

    1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function?
  8. Math

    All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?
  9. Geomatry

    For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
  10. algebra

    For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6

More Similar Questions