Pure Maths Yr2: Domain and Range of Composite Functions

In this video I cover finding the domain and range of a composite function. The idea of mappings diagrams, elements, domain, range and graph sketching is tested.

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[sultanashahjalal]

hands down, the BEST a level maths channel on youtube. idc what anyone else says

[armanitwahafa]

Exactly what I've been looking for✨
Thank you❤️

[naveedahmed]

You have an excellent knowledge and know how to explain

[nasimahmed]

Your method was so much faster and simpler than my teachers

[spartan]

Is the question correct? Based on the definition of a composite function f(g(x)) does not exist for the given domain.

For f(g(x)) to exist the range of g(x) should be a subset of the domain of f(x). Range of g(x) <= 8 and the domain of f(x) <0. So f(g(x)) does not exist.

Your method is brilliant but the final answer for the domain of fg(x) is wrong.

[kylezinho_]

These videos are super useful, cheers

[kakoly]

Your both answers are wrong. Domain of fg(x) is x>8. And range of fg(x) is fg(x)>48. This is because range of g(x) is the domain of f(x) which is the domain of fg(x).

[itstheassessment]

Hello, when are you going to start doing GCSE stuff?

[MrSamuel]

I think this one is wrong. fg does not exist because the range of g is not within the domain of f so we cannot find the domain of fg.

[BrianMwita-wt]

am sorry but i think the turning point isn't correct

[dujanahahmad]

Why isf(g(x)) only GREATER THAN-16 and not GREATER THAN OR EQUAL TO -16?