# What is the domain and range of #f(x)= 1/x#?

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Aug 16, 2015

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Domain:

Range:

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Your function is defined for any value of **except** the value that will make the denominator equal to zero.

More specifically, your function *undefined* for

Another important thing to notice here is that the only was a fraction can be equal to **zero** is if the numerator is equal to zero.

Since the numerator is constant, your fraction has no way of ever being equal to zero, regardless of the value

graph{1/x [-7.02, 7.025, -3.51, 3.51]}

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