How to determine the domain of addition of two rational functions

The video tutorial discusses the domain restrictions of a function, identifying values that make the function undefined, specifically x cannot equal 0 or 3. It explains the continuity of the function across different intervals and provides a graphical representation of these concepts. The function is continuous from negative infinity to zero, zero to three, and three to infinity, with disconnections at the points where x equals 0 and 3.

Which value is not allowed in the domain of the function discussed?

• 4

• 2

• 1

• 0

What is another value that makes the function undefined?

• 6

• 3

• 7

• 5

Between which intervals is the function continuous?

• 0 to 3

• Negative Infinity to 0

• 3 to Infinity

• All of the above

What happens to the function at X = 0 and X = 3?

• It is infinite

• It is zero

• It is undefined

• It is continuous

What is the overall domain of the function excluding the undefined points?

• Negative Infinity to 0 and 3 to Infinity

• 0 to Infinity

• Negative Infinity to Infinity

• 0 to 3