Mathematics

Mathematics

Problem

Let

f(x) = \frac{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 \ne 0

b.

f

is continuous at all

x

for which

g(x) = 0

c.

f

is continuous at all

x

for which

g(x) \ne 0

d.

f

is continuous at all

x

for which

h(x) \ne 0

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