posted by .

Explain how to find the restrictions on the domain of a reciprocal function. (please explain it clearly) thank you!

  • math -

    In any reciprocal function or rational function, the possibility exists that the denominator could be zero.
    This would make the expression undefined, since we cannot divide by zero.

    So set the denominator equal to zero, solve for the variable, and the solution becomes the restriction for your function

    e.g. y = 5x/(x^ - 9)

    solve x^2 - 9 = 0
    x = ± 3
    So the restriction is that x ≠ ± 3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math help

    could some one please explain to me reciprocal how to find the reciprocal my math home work says find the reciprocal of (-1/8)(13/2)(4) reciprocal you change over so is the -1/8 -8/1 or would it be 8/1 13/2 would be 2/13 4 would be …
  2. algebra

    1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different …
  3. math

    6. Determine the domain and range for each function given. Explain where any restrictions come from. a. f(x)= sqrt x + 5 – 4 b. f(x) = 1/2x^2 – 32 c. f(x) = 4/x^2 + 1
  4. math

    Consider the function f(x)= 3 ------. x^2-25 a) Determine any restrictions on x. b) State the domain and range. c) State equation(s) for the asymptote(s). d) Determine any x- and y-intercepts. e) Sketch a graph of the function. f) …
  5. math ergent please please...

    Explain how to find the equation of the vertical asymptotes of a reciprocal function in full details. * Steve told me to look up in the web, and did, but still i couldn't find the correct one. someone help please....
  6. math help please...

    1.Explain how to find the equation of the vertical asymptotes of a reciprocal function. 2.The reciprocal of a linear function and a quadratic function have the same horizontal asymptote. What is its equation?
  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

    1.How is the maximum or minimum point of the original quadratic function related to the maximum or minimum point of its reciprocal function?
  9. math help please...

    1.You want to use the interval method to solve a rational inequality. Explain how to find the intervals. 2.Explain how the interval method works. 3.Explain in your own words what a reciprocal function is.
  10. Math

    The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) …

More Similar Questions