Let [{x}] denote the greatest integer \\leq {x}, where{x} \\in{R}. If the domain of the real valued function{f}({x})=\\sqrt{{|[{x}]|-2}/{|[{x}]|-3}} is (-\infty, a) \\cup[{b}, {c}) \\cup[4, \infty), {a }< {b} < {c}, then the value of {a}+{b}+{c} is: [20 Jul 2021 Shift 1]

Functions Part 1

Section: Mathematics

Question : 39 of 100

Marks: +1, -0

Let [x] denote the greatest integer ≤x, wherex∈R. If the domain of the real valued functionf(x)=√

|[x]|−2

|[x]|−3

is (−∞,a)∪[b,c)∪[4,∞),a<b<c, then the value of a+b+c is:

[20 Jul 2021 Shift 1]

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