Home
Class 12
MATHS
If the following functions are defined f...

If the following functions are defined from `[-1,1]to[-1,1],` select those which are not objective. `sin(s in^(-1)x)` (b) `2/pisin^(-1)(sinx)` `(sgn(x))1N(e^x)` (d) `x^3(sgn(x))`

A

`sin(sin^(-1)x)`

B

`2/pi*sin^(-1)(sinx)`

C

`sgn(x)*log(e^(x))`

D

`x^(3)sgn(x)`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|76 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If the following functions are defined from [-1,1]to[-1,1], select those which are not bijective. (a)sin(sin^(-1)x) (b) 2/pisin^(-1)(sinx) (c)(sgn(x))ln(e^x) (d) x^3(sgn(x))

sgn(x^(2)-1)=(x+1)^(2)

int_(-1)^(10)sgn(x-[x])dx=

Which of the following function is periodic? sgn(e^(-x))x>0

Which of the following function(s) can be defined continuously at x=0?f(x)=(1)/(1+2^(cot x))

Find int_(-1)^(10)sgn(x-[x])dx

f(x)=sgn(cot^(-1)x),g(x)=sgn(x^(2)-4x+5)

Find the inverse of the function f: [-1,1] to [-1,1],f(x) =x^(2) xx sgn (x).

int_(-1)^(3)sgn(x-[x])dx

The domain of the function f(x)=sin^(-1)""(1)/abs(x^(2)-1)+1/sqrt(sin^(2)x+sinx+1) is

ARIHANT MATHS-FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

    Text Solution

    |

  2. f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

    Text Solution

    |

  3. If the following functions are defined from [-1,1]to[-1,1], select tho...

    Text Solution

    |

  4. Let f(x)={{:(x^(2)-4x+3",", x lt 3),(x-4",", x ge 3):} and g(x)={{:(...

    Text Solution

    |

  5. If f(x)=x^(2)-2ax+a(a+1),f:[a,infty) rarr [a,infty). If one of the sol...

    Text Solution

    |

  6. The function 'g' defined by g(x)= sin(sin^(-1)sqrt({x}))+cos(sin^(-1)s...

    Text Solution

    |

  7. The graph of f:R rarr R defined by y=f(x) is symmetric with respect to...

    Text Solution

    |

  8. Let f be the continuous and differentiable function such that f(x)=f(2...

    Text Solution

    |

  9. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

    Text Solution

    |

  10. Let A={1,2,3,4,5}, B={1,2,3,4) and f:A rarr B is a function, the

    Text Solution

    |

  11. In a function 2f(x)+ xf(1/x)-2f(|sqrt2sin(pi(x+1/4))|)=4cos^2[(pix)/2]...

    Text Solution

    |

  12. If f(x) is a differntiable function satisfying the condition f(100x)=x...

    Text Solution

    |

  13. If [x] denotes the greatest integer function then the extreme values o...

    Text Solution

    |

  14. Which of the following is/are periodic?

    Text Solution

    |

  15. If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,......

    Text Solution

    |

  16. Let f:R rarr R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3), fora...

    Text Solution

    |

  17. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

    Text Solution

    |

  18. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

    Text Solution

    |

  19. lf the fundamental period of function f(x)=sinx + cos(sqrt(4-a^2))x is...

    Text Solution

    |

  20. Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f...

    Text Solution

    |