## The problem

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In this problem I need to find the domain of the following rational function.

R(x)=x/x3-64

## Answer provided by our tutors

The domain of a function is the set of all possible inputs for the function.

The only value for which the function is not defined is when the denominator is '0' thus you need to solve:

x^3-64 = 0

........

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........

x = 4

So,

Domain=(-infinity,4)U(4,+infinity)

or

(-~,4)U(4,+~)