Question

For each of the following functions, identify any restrictions on its domain.

5.
`F(x)=\sqrt[3]{x-2} +3`


Is there any value of x that would cause this function to be undefined? ______


If there are restrictions on the domain, explain those restrictions.

If there are no restrictions, explain why that is.

Answer 1

Part (1) No, there is no value of x that will cause the function to be undefined since, there is no value in denominator so, it can not be undefined at any point.

Part (2) Domain is the value that x will take so, it can take all real values.

There is no restriction because cube root is defined for all values negative and positive.