If `[.]` denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the functio

Question

If `[.]` denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the functio

If `[.]` denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the function `f(x)=sin^(-1){x+[x]+(x)}` is
A. `x in {0}`
B. `x in [0,1]`
C. `x in (-1,0]`
D. `x in phi`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

The number of integers satisfying the inequation `|x-1|le[(sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)]` where `[.]` denotes greatest integer function is greater t

2 Answers 4 Views

The number of solution of the equastion `|x-1|+|x-2|=[{x}]+{[x]}+1` , where `[.]` and `{.}` denotes greatest integer function and fraction part funsti

2 Answers 4 Views

Let `E = [(1)/(3) + (1)/(50)]+[(1)/(3)+(2)/(50)]+[(1)/(3)+(3)/(50)]+……..` upto `50` terms where `[.]` denotes the greatest integer terms then

2 Answers 4 Views

For a real number x let `[x]` denote the largest integer less than or equal to x and `{x}=x-[x]`. The possible integer value of n for which `int_(1)^(

1 Answers 4 Views

`f(x)=log_(5)(cos^(-1)sqrt(x^(2)+5x+6)+sec^(-1)[{x}+1]([.]` denotes greatest integer function and `{.}` denotes fractional part function. Find the dom

1 Answers 4 Views

If `a_(1)` is the greatest value of `f(x)` , where `f(x) =((1)/(2+[sinx]))` (where [.] denotes greatest integer function) and `a_(n-1)=((-1)^(n-2))/((

2 Answers 4 Views

Let `f:NrarrN` be a function such `x-f(x)=19[(x)/(19)]-90[(f(x))/(90)],AAx in N` , where [.] denotes the greatest integer function and [.] denotes the

2 Answers 4 Views

If `x,y in (0,30)` such that `[(x)/(3)]+[(3x)/(2)]+[(y)/(2)]+[(3y)/(4)]=(11)/(6)x+(5)/(4)y` (where [x] denotes greatest integer `le x`), then number o

2 Answers 4 Views

The equation `(x)^(2)=[x]^(2)+2x` where `[x]` and `(x)` are the integers just less than or equal to `x` and just greater than or equal to `x` respecti

2 Answers 4 Views

If `[.]` denotes the greatest integer function and `x,yepsilonRr,"n" epsilonN` then which of the following is true?

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`-1lex+[x]+((x)le1`
case 1: if `x in I`
`-1le3xle1,-(1)/(3)lexle(1)/(3)`
`x=0`
case ii: if `x cancel(in)I`
`(x)=[x]+1`
`becausex+[x]+(x)=x+2[x]+1`
`because-1lex+2px]+1le1`
`-2ltx+2[x]le0`
if `xlt0`
`x+2[x]lt-2`
if `xge0,x+2[x]ge0`
No solution

4 views Answered 2023-02-05 15:29