Question

Chose all the values of x that are not in the domain of this rational function. Picture attached, 15 points and I'll give Brainliest! Due in two hours. A. -2 B. 1 C. 2 D. o

Answer 1

Answer:

All of them.

Step-by-step explanation:

For rational functions, the domain is all real numbers except for the zeros of the denominator.

Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:

$x(x-1)(x^2-4)=0$

Zero Product Property:

$x\neq 0\text{ or }x-1\neq 0\text{ or }x^2-4\neq 0$

Solve for the x in each of the three equations. The first one is already solved. Thus:

$x-1\neq 0 \text{ or }x^2-4\neq 0\\x\neq 1\text{ or }x^2\neq 4\\x\neq 1 \text{ or }x\neq\pm 2$

Thus, the values that cannot be in the domain of the rational function is:

$x=-2,0,1,2$

Click all the options.

Answer 2

Answer:

$\Large \boxed{\mathrm{All \ options}}$

Step-by-step explanation:

The domain of a function are all possible values for x.

To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.

$x(x-1)(x^2-4)=0$

Setting the factors equal to 0.

$x=0 \\ \\ \\\\ x-1=0 \\ \\ x=1 \\ \\ \\ \\ x^2 -4=0 \\ \\ x^2 =4 \\ \\ x=\pm 2$

The values of x that are not in the domain of the rational function are x=-2, x=1, x=2, and x=0.