Which statement describes the domain of the function f(x) = 3x / 4x2-4 ? a. all real numbers b. all nonzero real numbers c. all real numbers except x = 3/4 d. all real numbers except x = –1 and x = 1

Given rational function: .

We need to find the domain of the given rational function.

In order to find the domain, we need to find the restrictions of the domain.

In order to find the restrictions, we need to set denominator equal to 0 and solve for x.

Therefore,

Adding 4 on both sides, we get

Dividing both sides by 4, we get

Taking square root on both sides, we get

x = +1, =-1.

step-by-step explanation: