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![[Post New]](/templates/default/images/icon_minipost_new.gif) 21 Mar 2008 13:02:39 IST
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f(x) = sin (  [x]) /( x4 + 3 x2 + 7 ), then
a.) f is injective
b.)f is not one-one and non - constant
c.)f is a constant
d.)f is a zero function
[.] denotes greatest integer function.
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it is obviously constant
sin(n)=0
integral part of x is always an integer
f(x)=0
but wat exactly is 0 function f(x)=0 for all values of x?
then both r true
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21 Mar 2008 13:05:32 IST
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d obviously
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21 Mar 2008 13:07:44 IST
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c n d da rohit... even 0 is a constant..
injective or not depends on codomain
if it is lke R or N etc or wateva then its 'into' also
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21 Mar 2008 13:08:40 IST
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yes yes c also, i didnt see that :D
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21 Mar 2008 13:09:39 IST
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rohit a also?
i mean codomain shud be mentioned also...wat is given sushmi?
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21 Mar 2008 13:09:45 IST
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oh i missed it.....simple one...thanks, ans is c and d
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