Home
Class 11
MATHS
If a function f: R->R be defined by f(x)...

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

Text Solution

AI Generated Solution

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

If the function f: R->R be defined by f(x)=x^2+5x+9 , find f^(-1)(8) and f^(-1)(9) .

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

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

If f:R->R be defined by f(x)=x^2+1 , then find f^(-1)(17) and f^(-1)(-3) .

A function f is defined by f(x) = x^(2) + 1 . Find f(0), f(5), f(10).

The function f:R→R defined by f(x)=(x−1)(x−2)(x−3) is

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

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

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. 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

    |

  2. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

    Text Solution

    |

  15. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

    Text Solution

    |

  16. Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}andf = {(1, 5), (2, 9...

    Text Solution

    |

  17. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

    Text Solution

    |

  18. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  19. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  20. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |