Domain of a Composition of Functions, Example 1

[TheBarneyrubble08]

I think your style of teaching math is the best I've ever seen. Every time I leave class confused, I just check out how you've explained and then the light bulb goes on! Awesome lessons, just awesome. Thanks.

[patrickJMT]

@TheBarneyrubble08 no problem, come back any time

[roseheroine]

Love it! Very clear and well-explained!! Handwriting is easy to read! THANKS SO MUCH!

[patrickJMT]

@roseheroine no problem, happy to help!

[godblessfaiz]

Is it the same if I use comma sign instead of union sign to express the domain?

[blackroze1000]

My teacher says we have to always simplify the function and when I do I never get the same domain :/ .. Like in this one I got the function -12x^2-x+1/x^2 and so the domain is x greater than zero :/ aren't I supposed to get the same answer whether I simplify it or not ? Excuse my stupidity xD

[cuteNOBITA]

Thank you very MUCH!!! this video will help me a lot!!! i'll sit for my exam on this nov 2nd..... TQ Mr,,,, :")

[billfromtopgun]

If ever come to teach post 16 maths I'm just gonna play your videos.

[alreadytakenthe3rd]

@billfromtopgun Post-16? Like grad level math? I'm from the US, so I've never heard this phrase.

[billfromtopgun]

@alreadytakenthe3rd Any maths studied after the age of 16

[alreadytakenthe3rd]

@billfromtopgun Ah. I was thinking grade 16 when I read it, but now it makes sense. Thank you!

[billfromtopgun]

@alreadytakenthe3rd I was only kidding though, that would be a pretty lazy way to teach. But these videos are pretty amazing.

[DehXable]

At 3:25 you could have just raised both sides to the -1 power.

[patrickJMT]

@DehXable yes, i know

[mpatt79]

@DehXable 6 of one... 1/2 dozen of another

[maxgud]

I could never do what he has done so clearly with my left hand

[ploik21]

I haven't seen integral notation before, I was taught to write it as: {xER|x=/=-1/2,1/3,0}. Meaning x is an Element of the Real numbers and cannot equal -1/2, 1/3, or 0. Nice video :)

[patrickJMT]

@ploik21 interval notation, not integral. what you are using is called set notation. both work! : )

[ploik21]

@patrickJMT Thanks.