Let and let be defined by

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let A={1,2,3,4}A=\{1,2,3,4\} and let f:A→Af:A\to A be defined by f(1)=4, f(2)=3, f(3)=2, f(4)=1f(1)=4,\ f(2)=3,\ f(3)=2,\ f(4)=1. Define IAI_A as the identity on AA. Write the mapping of the composite function IA∘fI_A\circ f.

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