Let `f:A to A and g:A to A` be two functions such that fog(x)=gof (x)= – InterviewSolution

1.	Let `f:A to A and g:A to A` be two functions such that fog(x)=gof (x)=x for all `x in A` Statement-1:`{x in A: f(x)=g(x)}={x in A: f(x)=x}={x in A: g(x)=x}` Statement-2: `f:A to A` is bijection.A. 1B. 2C. 3D. 4
Answer» Correct Answer - A We have, `fog(x)=gof(x)=x"for all "x in A` `Rightarrow` f is invertible such that `g=f^(-1)` `Rightarrow` f is a bijection `Rightarrow [x in A: f(x)=g(x)]=[x in A: f(x)=x]={x in A: g(x)=x]`

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