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evaluate domain of cos inverse (x + [x]) where [.] denotes greatest integer

evaluate domain of
cos inverse (x + [x]) where [.] denotes greatest integer

Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

-1≤(x+[x])≤1,now for x<0, (x+[x])<-1, for x=0,(x+[x])=0, for 0<x<1, (x+[x])<1, for x≥1,(x+[x])>1

therefore, domain is 0≤x<1

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