Given that f(x)=6x2−2x and g(x)=2x , what is the domain of (fg)(x) ?(1 point)

The domain of the function (fg)(x) is the set of all real numbers except x=0.

Explanation: Since the function g(x)=2x has a domain of all real numbers, except x=0, when we multiply it by f(x)=6x^2-2x, the domain of the resulting function (fg)(x) will also exclude x=0.

Are you sure

I apologize for the confusion in my previous response. Let's revisit the problem to find the correct domain of the function (fg)(x).

Given:
f(x) = 6x^2 - 2x
g(x) = 2x

To find (fg)(x), we need to multiply f(x) and g(x):
(fg)(x) = f(x) * g(x) = (6x^2 - 2x) * 2x = 12x^3 - 4x^2

The domain of the function (fg)(x) is the set of all real numbers.
Therefore, the correct answer is:
- the set of all real numbers

positive?

I apologize for the oversight. Since we've found that the result of (fg)(x) is 12x^3 - 4x^2, the domain of this function is indeed the set of all real numbers, including positive and negative numbers.

Therefore, the correct answer should be:
- the set of all real numbers