What is the range of the inverse function of $f(x)=$ $x^{3}$ ? $f^{-1}(x)>0$ $f^{-1}(x)<0$ $f^{-1}(x) \geq 0$ $f^{-1}(x) \leq 0$ All real numbers

Step 1 ：The inverse function of \(f(x) = x^{3}\) is \(f^{-1}(x) = \sqrt[3]{x}\).

Step 2 ：The cube root function, \(\sqrt[3]{x}\), is defined for all real numbers. This is because you can take the cube root of any number, positive, negative, or zero.

Step 3 ：Therefore, the range of the inverse function \(f^{-1}(x) = \sqrt[3]{x}\) is all real numbers.

Step 4 ：\(\boxed{\text{The range of } f^{-1}(x) = \sqrt[3]{x} \text{ is all real numbers.}}\)