Mathematics

Mathematics

Problem

Let

p(x)

and

q(x)

be rational functions. Consider

r(x)=\dfrac{p(x)}{q(x)}

. Which of the following always describes the domain of

r

? a) All real

x

for which

q(x)\ne0

b) All real

x

for which

p(x)\ne0

and

q(x)\ne0

c) All real

x

for which both

p(x)

and

q(x)

are defined and

q(x)\ne0

d) All real

x

except those for which either

p(x)=0

or

q(x)=0

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