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