suneja
let g(x)= 1+x-[x] and f(x)= -1,x<0
0, x=0
1, x>1
then for all x f[g(x)] is equal to
a)x b)1 c)f(x) g(x)
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tamtoan
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what is [x] ? is it absolute value of x ? if yes, then answer is b
suneja
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[x] is the integer fn ( dont knw greatest or smallest integer fn)
and the ans is b
how did u do dat
Zekarias
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[x] is to mean that ' the greatest integer of x'.
suneja
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can anyone explain me greatest/smallest integer fn
suneja
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so how do u solve for those type functions
tamtoan
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thanks zekarias
tamtoan
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[x] is greatest integer of x , does it mean if 0 <= x <= 1 then [x] is 1 ? and -3 <= x <= -2 then [x] is -2 ?
hartnn
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no, the other way round
hartnn
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[1.5] =1
[-1.5]=-2
hartnn
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also called floor function
hartnn
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defination :For all real numbers x, the greatest integer function returns the largest integer less than or equal to x.
Zekarias
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Here is the answer...
For values of x the expression x-[x] is b/n 0 and 1 so that 1+x-[x] is always above 1.
Therefore f([g(x)]) = f(>1)=1
Thus answer B
suneja
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thanks all