Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

If f(x) is definedon [0,1] by rule   f(x)={ x,       if x is rational          1-x,    if x is irrational   }  the for all x belonging to [0,1] f(f(x)) A)constant  B)1+x C)x D)none of these  
Asked by g_archanasharma | 08 Apr, 2019, 05:11: AM
answered-by-expert Expert Answer
F o r space x element of left square bracket 0 comma 1 right square bracket I f space x space i s space r a t i o n a l space rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis equals f left parenthesis x right parenthesis equals x I f space x space i s space i r r a t i o n a l rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis equals f left parenthesis 1 minus x right parenthesis S i n c e comma space x space i s space i r r a t i o n a l space s o space 1 minus x space i s space i r r a t i o n a l rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis equals f left parenthesis 1 minus x right parenthesis equals 1 minus left parenthesis 1 minus x right parenthesis equals x H e n c e comma space f left parenthesis f left parenthesis x right parenthesis right parenthesis equals x space f o r space x element of left square bracket 0 comma 1 right square bracket
Answered by Renu Varma | 08 Apr, 2019, 10:16: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
a+bx e power of y/x =x then d square y by dx square
Asked by jameelmohd765 | 27 Apr, 2024, 10:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
find
question image
Asked by komuravellysravanthi4 | 26 Apr, 2024, 02:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solution please
question image
Asked by piyurawriya | 24 Apr, 2024, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
answer
question image
Asked by piyurawriya | 23 Apr, 2024, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
let M be the skew symmetric orthogonal real matrix.Then only possible eigen values are
Asked by kakumanumanoj282 | 20 Apr, 2024, 06:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
sin-1(sin5π/3)
Asked by nirmalraulji5 | 18 Apr, 2024, 09:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
1
question image
Asked by hadiabbas803 | 17 Apr, 2024, 07:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Cos66+sin84
Asked by veerababukoppisettiveerababu3 | 17 Apr, 2024, 05:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
how to solve this in financial calculator by log
question image
Asked by usakoyalshailesh | 15 Apr, 2024, 09:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
dout
question image
Asked by satnamk123 | 15 Apr, 2024, 01:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×