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The domain of a function is the set of all input values.
The domain of [tex]\mathbf{f(x) = \sqrt[3]{x}}[/tex] is all real values
The function is given as:
[tex]\mathbf{f(x) = \sqrt[3]{x}}[/tex]
The above function is a cube root function.
A cube root function is true for all real values.
This means that:
Hence, the domain of the function is all real values
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Rewritten by : Barada
Answer:
All real numbers
Step-by-step explanation:
We are given that a cube root function
[tex]f(x)=\sqrt[3]{x}[/tex]
We have to find the domain of given function.
The given function defined for all real values of x.
[tex]f(0)=0[/tex]
[tex]f(-1)=(-1)^{\frac{1}{3}}=-1[/tex]
[tex]f(-2)=(-2)^{\frac{1}{3}}=-1.259[/tex]
Therefore, domain of given function is the set of all real numbers.
Answer: All real numbers.
