Domain and Range of Composite Functions Part One

In this video I will introduce you to finding the domain and range of a composition of two functions. We'll be focusing on simple rational functions in this first video, and I will take you through a visualization that I use to understand how the two functions interact. In the second video of this series I will look at some other compositions involving radicals and linear equations.

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[teddyw.charawa]

You are a terror to mathematical ignorance. Great Job!!

[lucillewilgus]

you are a life saver, this is incredibly helpful

[AnthonyTurcios]

This video should be mandatory over txt book explanations!

[NotSubwayzz]

I'm slow with maths, this made studying so much easier. THANK

[candacehaley]

Thank you! Now I can grade my son's work. I love math, but it's been 30 years since I did this.

[textualrelations]

I have a test tomorrow and it really helped me a lot

[abhimanyuraut]

the video is really nice
concise, to the point and well explained

[farhanrais]

Very good explanation...really helped me

[himanshugupta]

but sir if we take compositon fog(x) =i.e. if we substitute (4/x+3) in f(x) then the domain and range are not same as given by your answer is there anything wrong iam doing????

[RaffaelloLorenzusSayde]

Totally confused.. I understand the restrictions it's just the amount of information.

[woodychelton]

i took calc 2 last fall and im coming back after some gap time to review. dude, the notation in here is driving me nuts. you keep calling g(f(x)) as g(x). someone else mentioned this too. its incredibly annoying and i cant focus when this keeps happenning

[tbg]

The notations' inconsistencies (in general, not just in this video) make this topic pointless painful: x is not the input of the composite function ; f(x) is! I don't know why you keep referring to g o f as g(x)