Question

He function g(x) is a transformation of the cube root parent function, (f(x) = √[3]{x}). What function is g(x)?

A. g(x) = √[3]{x} + 5
B. g(x) = 5√[3]{x}
C. g(x) = √[3]{5x}
D. g(x) = 5 + √[3]{x}

Answer 1

The function g(x) is a transformation of the cube root parent function, f(x) = √[3]{x}. The correct answer is option C. g(x) = √[3]{5x}.

Step-by-step explanation:

The function g(x) is a transformation of the cube root parent function, f(x) = √3{x}. To determine the function g(x), we need to look at the given options and compare them to the cube root parent function.

The correct answer is option C. g(x) = √3{5x}. This function is a horizontal transformation of the cube root parent function, where the graph is stretched horizontally by a factor of 5.