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The composition of functions is both commutative and associative.(a) True(b) FalseI got this question in an interview.My doubt stems from Composition of Functions and Invertible Function topic in portion Relations and Functions of Mathematics – Class 12

Answer»

Right choice is (B) False

To EXPLAIN: The given statement is false. The composition of functions is associative i.e. fο(g ο H)=(f ο g)οh. The composition of functions is not COMMUTATIVE i.e. g ο f ≠ f ο g.



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