Home
Class 12
MATHS
Let f:[-pi/2,\ pi/2]->A be defined by f(...

Let `f:[-pi/2,\ pi/2]->A` be defined by `f(x)=sinx` . If `f` is a bijection, write set `A` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos
  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

Let f:Xrarr Y be a function defined by f(x)=sinx .

Let f:{-pi/2,\ pi/2}->R be a function defined by f(x)=cos[x]dot Write range (f) .

If f:R-R is defined by f(x)=2x+7. Prove that f is a bijection. Also, find the inverse of f .

Classify f: R->R , defined by f(x)=sinx as injection, surjection or bijection.

If f: Rvec is defined by f(x)=2x+7. Prove that f is a bijection. Also, find the inverse of fdot

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number of points x in[0,4pi] 4satisfying the equation f(x)=(10-x)/10 is

Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number of points x in[0,4pi] 4satisfying the equation f(x)=(10-x)/10 is

Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number of points x in[0,4pi] 4satisfying the equation f(x)=(10-x)/10 is

Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number of points x in[0,4pi] 4satisfying the equation f(x)=(10-x)/10 is

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. If f: R->R , g: R->R are given by f(x)=(x+1)^2 and g(x)=x^2+1 , then w...

    Text Solution

    |

  2. Let A={x in R :-4lt=xlt=4 and x!=0} and f: A->R be defined by f(x)=(|...

    Text Solution

    |

  3. Let f:[-pi/2,\ pi/2]->A be defined by f(x)=sinx . If f is a bijection,...

    Text Solution

    |

  4. Let f: R->R^+ be defined by f(x)=a^x ,\ a >0 and a!=1 . Write f^(-1)(x...

    Text Solution

    |

  5. Let f: R-{-1}->R-{1} be given by f(x)=x/(x+1) . Write f^(-1)(x) .

    Text Solution

    |

  6. Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f...

    Text Solution

    |

  7. Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x...

    Text Solution

    |

  8. Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

    Text Solution

    |

  9. Let f be an invertible real function. Write (f^(-1)\ of)(1)+(f^(-1)...

    Text Solution

    |

  10. Let A={1,\ 2,\ 3,\ 4} and B={a ,\ b} be two sets. Write total numbe...

    Text Solution

    |

  11. Write the domain of the real function f(x)=sqrt(x-[x]) .

    Text Solution

    |

  12. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x)d...

    Text Solution

    |

  13. Write the domain of the real function f(x)=1/(sqrt(|x|-x))

    Text Solution

    |

  14. Write whether f: R->R given by f(x)=x+sqrt(x^2) is one-one, many-one, ...

    Text Solution

    |

  15. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

    Text Solution

    |

  16. What is the range of the function f(x)=[|x-1|]/[x-1]

    Text Solution

    |

  17. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  18. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

    Text Solution

    |

  19. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

    Text Solution

    |

  20. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

    Text Solution

    |