How to write the domain of a rational function with a radical in denominator

The video tutorial explains the importance of ensuring the denominator in a function is not zero and discusses the special case of square roots, where the input cannot be negative. It highlights that for a function involving a square root in the denominator, the expression must be greater than zero. The tutorial provides examples to illustrate these concepts and clarifies the domain of square root functions, emphasizing that the domain includes all positive numbers and zero, except when the square root is in the denominator.

Why can't the denominator of a function be zero?

• It makes the function negative.

• It makes the function undefined.

• It makes the function equal to zero.

• It makes the function positive.

What is the domain restriction for the function with a square root in the denominator?

• 2X + 1 must be less than or equal to 0.

• 2X + 1 must be equal to 0.

• 2X + 1 must be greater than 0.

• 2X + 1 must be less than 0.

If 2X + 1 is in the denominator, what value of X is not allowed?

• X = 1

• X = 0

• X = -1/2

• X = 1/2

For the function f(x) = sqrt(x), what is the domain?

• X is not equal to 0

• All real numbers

• X is greater than or equal to 0

• X is less than 0

Why can't you take the square root of a negative number?

• It results in a complex number.

• It results in an undefined value.

• It results in zero.

• It results in a positive number.