Home
Class 11
MATHS
If f(x)=|x+1| then the true statement fr...

If `f(x)=|x+1|` then the true statement from the following is :

A

`f(x^(2))={f(x)}^(2)`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2.1|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2.2|9 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2 F|10 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If f(x)=a^(x) , then the false statement from the following is:

y=f(x)=int_(0)^(x)(x-t)^(6)sin tdt then the true statements among the following are

If f(x)={[-3x+2,x =1]} ,then which of the following is not true (A) f'(1^(+))=1 (B) f'(1^(-))=-3 (C) f'(1^(-))=f'(1^(+))=1 (D) f is not differentiable at x=1

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

If f(x)=-3x+2,x =1 then which of the following is not true

Let f:RrarrR be a function defined by f(x)=min {x+1,|x|+1} , then which of the following is true?

Let f: R to R be a function defined by f(x)="min" {x+1,|x|+1}. Then, which of the following is true?

Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following is true