Function defined by a relationship of the form

*f*(*x*) = \(\sqrt[n]{x}\), where*x*∈ \(\mathbb{R}_{+}\), if*n*is even and not equal to zero, or*x*∈ \(\mathbb{R}\) if*n*is odd.### Examples

- Consider the function defined by the relationship \(f(x) = {x^2}\). The graph of
*f*is shown below, as is the graph of the reciprocal relation of*f*(dashed line), which can be divided into two to form the graphs of the functions*g*and*h*which are two square root functions :

- Consider the function defined by the relationship \(f(x) = {x^3}\); in this case, it can be noted that the reciprocal of the function is also a function and corresponds to the cube root function \(g\left ( x \right )=\sqrt[3]{x}\) :