A calculus problem by mayank gupta

Calculus Level 3

Let f ( x ) = g ( x ) / h ( x ) f(x)=g(x)/h(x) , where g g and h h are continuous functions on the open interval ( a , b ) (a,b) . Which of the following are true for a < x < b a<x<b ?

f f is continuous at all x x for which h ( x ) h(x) is not equal to zero. f f is continuous at all x x for which g ( x ) g(x) is not equal to zero f f is continuous at all x x for which x x is not zero f f is continuous at all x x for which g ( x ) = 0 g(x)=0

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