Home
Class 11
MATHS
Let f={(x,x^2/(1+x^2)),x in R} be a real...

Let `f={(x,x^2/(1+x^2)),x in R}` be a real
function from R to R. Determine the domain
and range of f.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MARCH 20

    MAXIMUM PUBLICATION|Exercise EXAMPLE|36 Videos

  • SEQUENCE AND SERIES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|111 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x) = (x^2 - 4)/(x - 2) Find the domain and range of f .

Consider the real function f(x)=(x+2)/(x-2) Find the domain and range of the function.

Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(x,y)//y=x+1} Write the domain and range of R.

Consider the function f(x)(={(1-x,x 0)) (ii)Fill the domain and range of the function f.

Consider two sets A= {1,2}, B= {3,4}. Define a relation R from A to B by R={(x,y):y=x+1} .Write down the domain, co-domain and range of R.

Let f be a function defined on [0,2], then find the domain of function g(x) = f (9x^2 -1)

Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the domain of f.

Let f : R to R be a differentiable function and f (1) = 4. Then the value of lim_( x to 1) int _(4) ^(f (x)) (2t)/(x -1) dt, if f '(1)= 2 is :

Consider the real valued function f(x)=(x-3)/(x^2-x-6) Find the domain of f(x) .

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Find the domain and range of R.

MAXIMUM PUBLICATION-Relations and Functions-EXAMPLE
  1. Write the relation R={(x,x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  2. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

    Text Solution

    |

  3. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

    Text Solution

    |

  4. Graph the following real functions. (each carries 2 scores) f(x)=a...

    Text Solution

    |

  5. Graph the following real functions. (each carries 2 scores) f(x)=x...

    Text Solution

    |

  6. Graph the following real functions. (each carries 2 scores) f(x)=x...

    Text Solution

    |

  7. Graph the following real functions. (each carries 2 scores) f(x)=1...

    Text Solution

    |

  8. Graph the following real functions. (each carries 2 scores) f(x)=(...

    Text Solution

    |

  9. Graph the following real functions. (each carries 2 scores) f(x)=3...

    Text Solution

    |

  10. Graph the following real functions. (each carries 2 scores) f(x)=a...

    Text Solution

    |

  11. Consider the relation, R={(x,2x-1)//x in A} where A={2,-1,3} Write...

    Text Solution

    |

  12. Consider the relation, R={(x,2x-1)//x in A} where A={2,-1,3} Write...

    Text Solution

    |

  13. Let A={1,2,3,4,6} and R be a relation on A defined by R={(a,b): a,b ...

    Text Solution

    |

  14. Let A={1,2,3,4,6} and R be a relation on A defined by R={(a,b): a, b...

    Text Solution

    |

  15. Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the va...

    Text Solution

    |

  16. Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the do...

    Text Solution

    |

  17. If f(x)=x^3+5x and g(x)=2x+1,find (f+g)(2) and (fg)(1).

    Text Solution

    |

  18. Let A={1,2,3,4,5} and R be a relation on A defined by R={(a,b):b=a^2...

    Text Solution

    |

  19. Let A={1,2,3,4,5} and R be a relation on A defined by R={(a,b):b=a^2...

    Text Solution

    |

  20. Draw the graph of the function f(x)=abs[x]+1,x in R

    Text Solution

    |