You are here:

Advanced Math/Mathematics


I am given the expression f(x)=(x+2)/(x^2-3x-10)

Determine the point(s) of discontinuity of the equation and whether they are point, infinite or jump discontinuities (algebraically, not graphing it out).

y = (x+2)/(x-3x-10)
y is discontinuous when x = -2 or 5.

I forgot to account for the factoring!
y = (x+2)/(x-3x-10) = (x+2)/((x+2)(x-5)) = 1/(x-5) when x≠-2.
There is a point discontinuity when x=-2.

There is an infinite, asymptotic discontinuity when x=5.

Advanced Math

All Answers

Answers by Expert:

Ask Experts


Janet Yang


I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.


I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language

I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley.

Past/Present Clients
George White Elementary School. Homework Help program at the Ridgewood Public Library, Ridgewood, NJ. Individual students.

©2017 All rights reserved.

[an error occurred while processing this directive]