Domain of a Composition of Functions, Example 3 – Common Mistake

Domain of a Composition of Functions, Example 3. In this video, I discuss the procedure for finding the domain of a composition of functions and then find the domain of one specific example. I also show a very common mistake when finding domains of compositions of functions.

16 thoughts on “Domain of a Composition of Functions, Example 3 – Common Mistake

  1. nice video..like always…i was wondering…what do you use to record at a down view…like a tripod or some sort?

  2. can you explain using sets as to why we have to consider the domain of the input functions as well?

  3. In set theory, it’s because that is how a function is defined. For example a function f is defined as follows:

    f: A -> B

    Which means f is a function that maps from A to B where A = domain(f) and B ⊆ range(f)

  4. Hi Patrick…I love what you do and I was interested in doing math videos as well. I just put out my first 2 videos and would love for you to check out my channel and give me some feedback..Thank you

  5. @patrickGMT can you go through an example of when the domain of the composite contradicts the domain of the input or vice versa. Whichone supercedes which? Thanks

  6. @patrickJMT what happens if the domain of the Domain of the input contradicts the domain of the composite function

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