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

Let `f : R rarr R` be defined by `f(x)=2 x+|x|` then `f(2 x)+f(-x)-f(x)=`

A

a. 2x

B

b.`2|x|`

C

c.-2 x

D

d.`-2|x|`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

Let f : R to R be defined by f(x)=x^(4) , then

Let f: R to R be defined by f(x) = x^(4) , then

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

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

Let, f : R rarr R be given by f(x) = tan x . Then f^-1(1) =

If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

Let f : R rarrR be defined by f(x)={{:(2x ,,,x gt3 ),(x^2,,,1 lt xle3),(3x,,,x le1):} Then f(-1) + f(2) + f(4) is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then f^(-1)(x)...

    Text Solution

    |

  2. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  3. Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

    Text Solution

    |

  4. If f:[1,oo)to[1,oo) is given by f(x)=x+(1)/(x), then f^(-1)(x) equals ...

    Text Solution

    |

  5. If f:[1,oo)to[2,oo) is given by f(x)=x+(1)/(x), then f^(-1)(x) equals ...

    Text Solution

    |

  6. Let f(theta) =sin theta(sin theta + sin3theta) then f(theta) :

    Text Solution

    |

  7. If f(x)=3 x-5, then f^(-1)(x)=

    Text Solution

    |

  8. If f(1)=1 and f(n+1)=2 f(n)+1, then f(n) is

    Text Solution

    |

  9. If f(x)=alpha x^(2)+b x+c, then the values of a and b for which the i...

    Text Solution

    |

  10. If f(x)=1+alphax,alphane0 is the inverse of itself, then the value of ...

    Text Solution

    |

  11. Let f:[0.1] rarr[0,1] and g:[0,1] rarr[0,1] be two functions defined b...

    Text Solution

    |

  12. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |

  13. If f(x)=sin ^(-1)(log (2) (x^(2)/(2))), then thedomain of the function...

    Text Solution

    |

  14. The domain of the function y=sqrt(x-2)+sqrt(1-x) is

    Text Solution

    |

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

    Text Solution

    |

  16. The domain of the function : f(x)=log(2)[log(3)[log(4)x]] is :

    Text Solution

    |

  17. The domain of the function f(x)=sqrt(log(0.5)x) is :

    Text Solution

    |

  18. The domain of the function f(x)=sqrt(log(0.5)x) is :

    Text Solution

    |

  19. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  20. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |