Home
Class 11
MATHS
Let f: R->R be a function given by f(x)=...

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

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos
  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

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}

The function f:R to R given by f(x)=x^(2)+x is

Let f: R->R be a function given by f(x)=a x+b for all x in R . Find the constants a and b such that fof=I_Rdot

Let f:R->R be a function defined by f(x)=x^2-(x^2)/(1+x^2) . Then:

Let f: R-R be a function given by f(x)=a x+b for all x in R . Find the constants a and b such that fof=I_Rdot

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Let f" "=" "{(1,1)," "(2," "3)," "(0, -1)," "(-1," "-3)} be a function...

    Text Solution

    |

  5. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

    Text Solution

    |

  6. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

    Text Solution

    |

  7. Define a  function as a set of ordered pairs.

    Text Solution

    |

  8. Define a function as a correspondence between two sets.

    Text Solution

    |

  9. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  10. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  11. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

    Text Solution

    |

  12. A function f: R->R is defined by f(x)=x^2dot Determine Range of f ii....

    Text Solution

    |

  13. Let f: R^+ -> R where R^+ is the set of all positive real numbers, be ...

    Text Solution

    |

  14. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  15. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  16. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  17. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  18. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  19. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

    Text Solution

    |

  20. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

    Text Solution

    |