Let `g(x)=1=x-[x] and f(x)={-1, x < 0 , 0, x=0 and 1, x > 0,` then for – InterviewSolution

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1.	Let `g(x)=1=x-[x] and f(x)={-1, x < 0 , 0, x=0 and 1, x > 0,` then for all `x, f(g(x))` is equal to(i) x(ii) 1(iii) f(x)(iv) g(x)A. xB. 1C. f(x)D. g(x)
Answer» Correct Answer - B We know that `0 le x-[x] lt 1"for all " x in R` `Rightarrow 1 le 1 +x-[x] lt 2"for all "x in R` `Rightarrow 1 le g(x)lt 2" for all "x in R` `Rightarrow f(g(x))=2" for all "x in R`

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