According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

We need to determine which function shares the identical set of potential rational roots with the function .

To begin, we will calculate the rational roots of the provided function.

Let 'p' represent the factors of 12

Thus, p=

Let 'q' denote the factors of 3

Accordingly, q=

Hence, the rational roots are calculated through , which are:

.

Now, we look at the function presented in part A.

f(x) =

Again, let 'p' be the factors of 12

Thus, p=

Let 'q' represent the factors of 3

Resulting in q=

Thus, the rational roots are derived from , leading to:

.

Consequently, this equation possesses the same rational roots as the original function.

Thus, option A is the correct choice.