Home
Class 12
MATHS
If f : R rarr R be defined as f(x) = 2x ...

If `f : R rarr R` be defined as `f(x) = 2x + |x|`, then `f(2x) + f(-x) - f(x)` is equal to

A

2x

B

2 |x|

C

`-2x`

D

`-2 | x |`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If : R rarr R defined by f(x) = x |x | , then f(x) is

The function f:R rarr R be defined by f(x)=2x+cos x then f

f:R rarr R defined by f(x)=x^(2)+5

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

f:R rarr R defined by f(x)=x^(3)-4

Let f:R rarr R, be defined as f(x)=e^(x^(2))+cos x, then f is a

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

The function f:R rarr R defined as f(x) = x^3 is:

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
  1. If f(x+1)=x^(2)-3x+2 then f(x) is equal to

    Text Solution

    |

  2. f(x) = (x (x-p))/(q - p) + (x (x - q))/(p - q) , pneq. What is the val...

    Text Solution

    |

  3. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

    Text Solution

    |

  4. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

    Text Solution

    |

  5. If f(x)=xandg(x)=|x|, then what is (f+g)(x) equal to ?

    Text Solution

    |

  6. If f(x) = e^(-x), then (f (-a))/(f(b)) is equal to

    Text Solution

    |

  7. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

    Text Solution

    |

  8. The domain of the function f(x) = (|x + 3|)/(x + 3) is

    Text Solution

    |

  9. let f(x)=sqrt(1+x^2) then

    Text Solution

    |

  10. The function f(x)=log(10)((1+x)/(1-x)) satisfies the equation

    Text Solution

    |

  11. If f (x + y) = f(x) + 2y^(2) + kxy and f(a) = 2, f(b) = 8, then f(x) ...

    Text Solution

    |

  12. Let f1(x)={x, x leq x leq 1 and 1 x gt1 and 0,otherwise f2(x) =f1 (...

    Text Solution

    |

  13. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

    Text Solution

    |

  14. Let f(x) = (alpha x^(2))/(x + 1), x ne - 1 , The value of alpha for wh...

    Text Solution

    |

  15. The domain of the function f(x) = exp ( sqrt(5x - 3 - 2x^(2))) is

    Text Solution

    |

  16. If f : R rarr R be defined as f(x) = 2x + |x|, then f(2x) + f(-x) - f...

    Text Solution

    |

  17. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |

  18. Which of the following is wrong ?

    Text Solution

    |

  19. Let f(x) be defined on [-2,2] and is given by f(x) = {{:(x+1, - 2l...

    Text Solution

    |

  20. The domain for which the functions defined by f(x)=3x^(2)-1 and g(x)...

    Text Solution

    |