Question

identify the following function:
$g(x)=2\sqrt3{x - 1}-3$
square root function
cubic function
cube root function
quadratic function

Explanation:

The function $g(x)=2\sqrt[3]{x-1}-3$ contains a cube root ($\sqrt[3]{\cdot}$) as its core component, which matches the definition of a cube root function. Square root functions use $\sqrt{\cdot}$ (index 2), cubic functions are polynomials of degree 3, and quadratic functions are polynomials of degree 2, none of which describe the given function.

Answer:

C. CUBE ROOT function