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 + X ^2

• -, 4 * X ^2 + X

• -, 4 * X + X ^2

• -, 4 / X ^2 + X

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

• 0 and 1

• -, 1 and 0

• 1 and 2

• -, 2 and 0

Why is the value X = 0 excluded from the domain?

• It makes the numerator zero

• It makes the denominator zero

• It makes the expression undefined

• It makes the expression negative

What is the domain of the function in interval notation?

• (-∞, -1) ∪ (0, 1) ∪ (1, ∞)

• (-∞, 0) ∪ (0, 1) ∪ (1, ∞)

• (-∞, 1) ∪ (1, 0) ∪ (0, ∞)

• (-∞, -1) ∪ (-1, 0) ∪ (0, ∞)

What is the significance of the interval notation in understanding the domain?

• It simplifies the expression

• It changes the function's range

• It highlights the excluded values

• It shows all possible values of X