Asked by scarlette. . .need help asap
                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
            
        g(x)= p(x^2-m)/(x+2)(x+5)has a horizontal asymptote at y=5 and a hole at x=-2
Answers
                    Answered by
            Steve
            
    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
    
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
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.