A rational function \( h(x) = {f(x) \over g(x)} \) is continuous at x = a if what condition is satisfied? 


a) f(a) and g(a) are both defined

b) g(a) is defined

c) g(a) ≠ 0

d) f(a) ≠ 0 and g(a) ≠ 0


I believe the answer is A. 

Julius  Feb 23, 2018

Based on the following, I believe "c"  is correct :


(ii.) Every rational function is continuous everywhere it is defined, i.e., at every point in its domain. Its only discontinuities occur at the zeros of its denominator.






cool cool cool

CPhill  Feb 23, 2018

6 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.