Home
Class 12
MATHS
If f(x)={{:(2-x,xlt0),(x^2-4x+2,xge0)} t...

If `f(x)={{:(2-x,xlt0),(x^2-4x+2,xge0)}` then the value f(f(f(1))) is a)`gt0` b)`lt 0` c)`=0` d)does not exist

A

`gt0`

B

`lt 0`

C

`=0`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)= (x+1)/(x-1) then the value of f(f(x)) is equal to a)x b)0 c)-x d)1

If int_(0)^(x^(2)(1+x))f(t)dt=x , then the value of f(2) is

If int_(0)^(x^(2))f(t)dt=xcospix , then the value of f(4) is :a)1 b) 1/4 c)-1 d) (-1)/4

Let f(x+1/y)+f(x-1/y)=2 f(x)f(1/y)AAxy in R, y ne 0 and f(0) = 0 then the value of f(1) + f(2) = a) -1 b)0 c)1 d)none of these

If int(log_(e)(1+sin^(2)x))/(cos^(2)x)dx=f(x)+C , then the value of f(0) is a)0 b)1 c)2 d)3

If f(x)={{:(x^2,"for " x ge 0),(x,"for " x lt 0):} then fof (x) is given by