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.

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

it is a stack of books with a webcam duct taped to the top.

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

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)

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

can i say domain is R-{8} :D?

thx for all composition vids

no problem, i hope they help

Such a typical pitfall! It’s good you made a vid about it

come back any time!

my internet is slowed, im going to fail..

what about the range of composites?

@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

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

i am not quite sure what you mean

what if g(x) had its own restrictions? thanks for the video btw