Understanding The Composition Of Two Functions | Domain of Composition of Functions

In this Precalculus Video lecture of Precalculus Video Series in Urdu/English, we will understand composition of two functions "(fog)(x)=f(g(x))". We will also learn how to find domain of that Composition of two functions with examples. "(fog)(x)=f(g(x))".
Domain of composition of two functions or domain of composite function "fog" :
"It is set of values of x from domain of g for which g(x) is in the domain of f".
PreCalculus for BS Computer Science at Sukkur IBA University | PreCalculus for BS Software Engineering | PreCalculus for Engineering | PreCalculus for BS Artificial Intelligence, AI | PreCalculus for BS Date Science | Precalculus| CalculusCraze | PreCalculus by Ron Larson | CalculusCraze | Fixed Cost | Marginal Cost | Cost Function | Abdul Fatah Rajri | Sukkur IBA Mathematics
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[@sidraparveen5611]

Great 👏
A nice way of teaching

[@CalculusCraze1]

Thanks for the kind words 😊

[@abdulsaeedpitafi9773]

Great!!! Love the explanation

[@CalculusCraze1]

Thanks for the appreciation ❤

[@muzamilbhayo2830]

Sir fatah we will always miss you❤

[@CalculusCraze1]

Thanks for that ❤

[@asadullahshaikh920]

Excellent work Sir❤️

[@CalculusCraze1]

Thanks a lot, that motivates us to create more content ❤️

[@math_with_awr]

❤Very Helpful 👍🏻👍🏻

[@CalculusCraze1]

Thank you very much for the love and appreciation!!!😊

[@Fahadhussainprog]

Very helpful video❤

[@CalculusCraze1]

Thanks for the kind words

[@aitbarbhutto849]

I learned it in this way:
If the outer function has no problems then the composition`s domain will be the domain of the inner function. Does not matter if the inner function has any problems or not.
If the outer function has any problems then you compose the two functions and then set the whole thing >=0 or =0 and then you find the domain.

[@CalculusCraze1]

❤️❤️

[@CalculusCraze1]

❤️