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# domain

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Let $f(x) = \dfrac{2}{\sqrt[3]{x}}$. What is the domain of f(x)? Express your answer with interval notation.

Mar 13, 2021

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Domain is all of the x values the function is allowed to be......you cannot have zero in denominator   so x cannot = 0

the cube root of negative numbers are negative numbers

so x can be negative too

sooooo   (-inf,0) U ( 0, + inf)   = domain

Mar 13, 2021
edited by ElectricPavlov  Mar 13, 2021
edited by ElectricPavlov  Mar 13, 2021