Home
Class 12
MATHS
If f(x) = x/(sqrt(1+x^2) then fofof(x)...

If `f(x) = x/(sqrt(1+x^2)` then `fofof(x)`

A

`(3x)/(sqrt(1+x^(2)))`

B

`(x)/(sqrt(1+3x^(2)))`

C

`(3x)/(sqrt(1-x^(2)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 2: Mappings, Mapping of Functions, Kinds of Mapping of Functions)|19 Videos
  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If f:R to R be defined by f(x) = (x)/(sqrt(1 +x^(2) )), then (fofof)(x)= …………. .

f(x)=(1)/(sqrt(x^(2)-1))

Knowledge Check

  • Let f : R rarr R be defined by f(x) = x/sqrt(1+x^2) , then (fofof)(x) is

    A
    `x/sqrt(1+x^2)`
    B
    `x/sqrt(1+3x^2)`
    C
    x
    D
    1
  • If f(x)=sqrt(1-sqrt(1-x^2)) , then f(x) is

    A
    continuous on [-1,1]
    B
    differentiable on `(-1,0) cup (0,1)`
    C
    Both (1) and (2)
    D
    None of the above
  • If f(x) =(x-4)/(2sqrt(x)) , then f^(')(1) is equal to

    A
    `5/4`
    B
    `4/5`
    C
    1
    D
    0
  • Similar Questions

    Explore conceptually related problems

    f(x)=sqrt(x^(2)-x+1)

    If f(x)=(x)/(sqrt(1-x^(2))),g(x)=(x)/(sqrt(1+x^(2))) then ( fog )(x)=

    If f(x) = sqrt(1- sqrt(1-x^(2)) , then at x = 0

    If f(x)=x(sqrt(x)-sqrt(x+1)) then f(x) is:

    f(x)=In (x+sqrt(x^2+1)) is :