Which of the following correctly describes the domain of the function shown
below?
r(x) = 2x/x-1

Option D:

is the domain of the function.

Solution:

Given function is

To find the domain of the function:

Option A:

Substitute x = 0 in r(x).

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, is not the domain of the function.

Option B:

Substitute x = –1 in r(x).

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, is not the domain of the function.

Option C:

Substitute x = 1 in r(x).

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D:

Substitute x = 1 in r(x).

It is indeterminate.

So, is the domain of the function.

the answer is d on edge

step-by-step explanation: