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.
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.
+956 
