Domain of a function with radical in the denominator #shorts

The video tutorial explains how to handle rational functions with square roots in the denominator. It covers the implied domain restrictions for both rational and square root functions, and demonstrates how to combine these restrictions effectively. The tutorial then applies these combined restrictions to solve the problem, concluding with a representation of the domain using interval notation.

What is the implied domain restriction for a rational function?

• You cannot subtract zero.

• You cannot multiply by zero.

• You cannot divide by zero.

• You cannot add zero.

Why can't the square root in the denominator be equal to zero?

• Because it would make the function undefined.

• Because it would make the function negative.

• Because it would make the function positive.

• Because it would make the function zero.

What inequality must be satisfied for the expression 2X in the denominator?

• 2X must be less than or equal to zero.

• 2X must be equal to zero.

• 2X must be less than zero.

• 2X must be greater than zero.

How is the domain of the function expressed in interval notation?

• (-Infinity, 0]

• (0, Infinity)

• (-Infinity, 0)

• [0, Infinity)

What does an open circle on a number line indicate about the domain?

• The value is negative.

• The value is included in the domain.

• The value is not included in the domain.

• The value is zero.