Home
Class 12
MATHS
Let f: R->R be given by f(x)=tanx . Then...

Let `f: R->R` be given by `f(x)=tanx` . Then, `f^(-1)(1)` is `pi/4` (b) `{npi+pi/4: n in Z}` (c) does not exist (d) none of these

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: R->R be defined by f(x)=x^4 , write f^(-1)(1) .

Let f:R→R be given by f(x)=x ^2−3 . Then, f ^(−1) is given by

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

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

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

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){10 , 37}

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=(a) x for all x in R...

    Text Solution

    |

  2. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

    Text Solution

    |

  3. If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals....

    Text Solution

    |

  4. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

    Text Solution

    |

  5. Let f(x)=(alphax)/((x+1)),x!=-1. for what value of alpha is f(f(x))=x ...

    Text Solution

    |

  6. The distinct linear functions which map [-1, 1] onto [0, 2] are f(x...

    Text Solution

    |

  7. If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

    Text Solution

    |

  8. If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) e...

    Text Solution

    |

  9. Let [x] denote the greatest integer less than or equal to x . If f(x...

    Text Solution

    |

  10. If g(x)=x^2+x-2a n d1/2gof(x)=2x^2-5x+2, then which is not a possible ...

    Text Solution

    |

  11. If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x)...

    Text Solution

    |

  12. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3...

    Text Solution

    |

  13. Let f(x)=x^3 be a function with domain {0, 1, 2, 3}. Then domain of...

    Text Solution

    |

  14. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |

  15. Let f: R->R be given by f(x)=tanx . Then, f^(-1)(1) is pi/4 (b) {npi+p...

    Text Solution

    |

  16. Let f: R->R be defined as f(x)={ 2x, if x>3, x^2 if x is less than 1. ...

    Text Solution

    |

  17. Let A={1,2,..., n} and B={a , b }. Then number of subjections from A i...

    Text Solution

    |

  18. If the set A contains 5 elements and the set B contains 6 elements, th...

    Text Solution

    |

  19. If the set A contains 7 elements and the set B contains 10 elements, ...

    Text Solution

    |

  20. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

    Text Solution

    |