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Continuous Functions

4. 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 < x < b?
A. f is continuous at all x for which x is not zero.
B. f is continuous at all x for which g(x) = 0.
C. f is continuous at all x for which g(x) is not equal to zero.
D. f is continuous at all x for which h(x) is not equal to zero.
E. f is possibly discontinuous even though h(x) is not equal to zero.

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Continuous Functions are investigated.

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