Find the product of the identitly function by the reciprocal function. – InterviewSolution

InterviewSolution

1.	Find the product of the identitly function by the reciprocal function.
Answer» Let `f:RtoR:f(x)=xandg:R-{0}toR:g(x)=(1)/(x)` be the identity function and the reciprocal function respectively. Then, dom `(fg)="dom "(f)nn"dom "(g)=RnnR-{0}=R-{0}` `:.(fg):Rto{0}toR:f(g)(x)=f(x).g(x)=(x""xx(1)/(x))=1`. Hence, `(fg)(x)=1" for all "x""inR-{0}`.

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