Let f(x) = (g(x))/(h(x)), where g and h ...

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

f is continuous at all x for which `x ne 0`

f is continuous at all x for which g(x) = 0

f is continuous at all x for which `g(x) ne 0`

f is continuous at all x for which `h(x) ne 0`

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