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Differential Calculus

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29 Oct 2009 11:43:09 IST

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519

DOMAIN

None

If f(x) is defined in [-3, 2], find the domain of definition of f ([ IxI ]) {mod x whole box (greatest integer func)} and f ([2x+3])

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kabi

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Joined: 11 Jan 2009

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1 Nov 2009 16:25:51 IST

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hello

is it greatest integer of mode x or greatest integer of x ?

If greatest integer of mode x ::

-3=<[IxI]=<2

-3=< IxI < 3

we know IxI>=0 always

so inequality becomes ::

0=< IxI <3

so -3 <x<3 is the solution

if it is greatest integer of x only

-3=<[x] <=2

-3=<x<3 will be d solution

b. f([2x+3])

-3<=[2x+3]<=2

-3<=2x+3 <3

-3<=x<0 is d solution .

thank u

Yagyadutt Mishra

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1 Nov 2009 17:07:16 IST

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very nice solution by kaviraj patil

eragon24

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1 Nov 2009 17:12:08 IST

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mishra ji badey mood mey lag rahey ho ajkal............ka baat hai :)........aur ye kaviraj patil kaun hai :P

Yagyadutt Mishra

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1 Nov 2009 17:20:27 IST

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Kahe ka mood bhabhiji..............sab mast hai....kavi raj patil wahi upar wale bhai sahab

eragon24

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1 Nov 2009 17:27:16 IST

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arey behena wo bhai sahab nahi hai........ :P

kabi

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6 Nov 2009 23:13:40 IST

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thank to Jesus , atleast there is one who know kabi is a gal not a bhai sahab .

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