Home
Class 12
MATHS
Let f(x) = |x-1| , then which of the ...

Let f(x) = |x-1| , then which of the following is true

A

`f(x^2 ) = [f(x) ]^2`

B

`f(|x|)= |f(x)|`

C

`f(x+y)=f(x) +f(y)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos
  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let f(x)=sinx+ax+b .Then which of the following is/are true?

If a_(0)=x,a_(n+1)=f(a_(n)), " where " n=0,1,2, …, then answer the following questions. If f(x)=(1)/(1-x), then which of the following is not true?

Let f(x)=sinx+a x+bdot Then which of the following is/are true? f(x)=0 has only one real root which is positive if a >1, b 1, b 1, b > 0. non eoft h e s e

If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following is true a)f(500)-1/500 b)f(199)=1/199 c)f(1999)=1/1999 d)f(x)=x

f(x)=|x^2-3|x|+2|dot Then which of the following is/are true

Consider the function f(x) = In(sqrt(1-x^2)-x) then which of the following is/are true?

Let f: R->R and g: R->R be two non-constant differentiable functions. If f^(prime)(x)=(e^((f(x)-g(x))))g^(prime)(x) for all x in R , and f(1)=g(2)=1 , then which of the following statement(s) is (are) TRUE? f(2) 1-(log)_e2 (c) g(1)>1-(log)_e2 (d) g(1)<1-(log)_e2