calculus

posted by .

find the sum of p+m if the function
g(x)= p(x^2-m)/(x+2)(x+5)has a horizontal asymptote at y=5 and a hole at x=-2

  • calculus -

    we know that at large x,

    g(x) =~ 5, so p = 5, giving us

    g(x) = 5(x^2 - m)/(x+2)(x+5)
    A hole at x = -2 means that the numerator is divisible by (x+2) so that

    g(x) = 5(x+2)(x-2)/(x+2)(x+5)
    making m = 4

    p+m = 9

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Analyze the function algebraically. List its vertical asymptotes, holes, y-intercept, and horizontal asymptote, if any. q(x)= -4/x-2 vertical asymptote= hole= horizontal asymptote= y-intercept=
  2. Precalculus

    Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical asymptote …
  3. Pre-Calculus

    Rational Functions does the following function have a hole or a vertical asymptote or both?
  4. pre calculus

    use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot …
  5. Algebra - Help!

    Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the Domain: Vertical asymptote(s): Hole(s): Horizontal asymptote (if exists):
  6. Algebra - functions

    Given the function: f(x) = 5/(x-1)^2 Find the Horizontal Asymptote: Vertical Asymptote: Hole(s): X intercept: Y intercept:
  7. math

    Describe the vertical asymptote(s) and hole(s) for the graph of .y=(x-3)(x-1)/(x-1)(x-5) A. asymptote: x = 5 and hole: x = 1 B. asymptote: x = –5 and hole: x = –1 C. asymptote: x = –3 and hole: x = 5 D. asymptote: x = 5 and hole: …
  8. calculus

    The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A.the horizontal asymptote(s) B.the vertical asymptote(s) C. describe their possible meanings Horizontal asymptote …
  9. Math(Please help!)

    Describe the vertical asymptote and hole for the graph of (x^2+x-6)/(x^2-9). a. asymptote: x=2; hole: x=-3 b. asymptote: x=3; hole: x=2 c. asymptote: x=-3; hole: x=3 d. asymptote: x=3; hole: x=-3 I know that it has to either be b or …
  10. Math (Integrals)

    The area A between the graph of the function: g(t) = 4 - (4/t^2) and the t-axis over the interval [1, x] is: A(x) = ∫[1, x] (4 - (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph …

More Similar Questions