Posted by scarlette. . .need help asap on Tuesday, January 10, 2012 at 12:02pm.
find the sum of p+m if the function
g(x)= p(x^2m)/(x+2)(x+5)has a horizontal asymptote at y=5 and a hole at x=2

calculus  Steve, Tuesday, January 10, 2012 at 12:34pm
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)(x2)/(x+2)(x+5)
making m = 4
p+m = 9
Answer This Question
Related Questions
 PreCalculus  Rational Functions does the following function have a hole or a ...
 Precalculus  Write an equation for rational function with given properties. a...
 Math(Please help!)  Describe the vertical asymptote and hole for the graph of (...
 Algebra  Help!  Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the...
 pre calculus  use the seven step method to graph the following rational ...
 Math  Analyze the function algebraically. List its vertical asymptotes, holes, ...
 Algebra  functions  Given the function: f(x) = 5/(x1)^2 Find the Horizontal ...
 calculus  The following rational function describes concentration in blood of a...
 math  Describe the vertical asymptote(s) and hole(s) for the graph of .y=(x3)(...
 College Algebra  3x1/x^210x+26 Find all (real) zeros of the function Find all...
More Related Questions