Given \( f(x)=\sqrt[3]{x}+8 \), identify the domain of the function as an inequality. (1 point) \( x>0 \) \( -\infty

Ask by Ellis Hodgson. in the United States

Jan 23,2025

The function \( f(x) = \sqrt[3]{x} + 8 \) involves a cube root, which is defined for all real numbers. Therefore, the domain of the function is not restricted to any interval or specific values. Thus, the correct domain is \( -\infty < x < \infty \). Remember, when in doubt about the domain of a function, particularly those involving roots, it's always good to consider how roots of different orders behave! Cube roots can take any real number as input, unlike square roots which must be non-negative.