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If f : A —> B, g : B —> C then what is the domain and codomain of (fog)(x)?

If f : A —> B, g : B —> C then what is the domain and codomain of (fog)(x)?

Grade:11

1 Answers

Abhishek Singh
103 Points
9 days ago
fog(x) is defined iff Range of g(x) lies within Domain of f(x) ==> For it to be defined we require C\subseteq A .
 
Now, Domain of fog(x) is same as g(x) ==> Domain = B
Codomain of fog(x) is same as codomain of f(x) ==> Codomain = B 

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