Multiplying a function by a multiple, then determine the domain

The video tutorial explains a mathematical function, simplifying it to -, 4 / X^2 + X. It discusses the domain, noting that it includes all real numbers except those that make the denominator zero, specifically -, 1 and 0. The domain is then expressed in interval notation as negative infinity to -, 1, -, 1 to 0, and 0 to infinity.

What is the simplified form of the expression -, 4 * 1 / X ^2 + X?

• -, 4 / X ^2 + X

• -, 4 * X ^2 + X

• -, 4 / X + X ^2

• -, 4 * X + X ^2

Which values are excluded from the domain of the function to avoid division by zero?

• -, 2 and 0

• -, 1 and 0

• 1 and 2

• 0 and 1

Why is there no radical in the function's domain?

• Because radicals are only in the numerator

• Because radicals are irrelevant to the domain

• Because radicals are not part of the expression

• Because radicals are only in the denominator

What is the significance of the values -, 1 and 0 in the context of the function's domain?

• They are the points where the function is zero

• They are the points where the function is minimum

• They are the points where the function is undefined

• They are the points where the function is maximum

What is the domain of the function in interval notation?

• (-∞, -1) ∪ (-1, 0) ∪ (0, ∞)

• (-∞, 0) ∪ (-1, 0) ∪ (0, ∞)

• (-∞, 0) ∪ (0, 1) ∪ (1, ∞)

• (-∞, -1) ∪ (0, 1) ∪ (1, ∞)