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# Last Question?

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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
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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.

CPhill  Feb 23, 2018