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avatar+956 

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. 

 Feb 23, 2018
 #1
avatar+99586 
+3

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

 Feb 23, 2018

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