Home
Class 12
MATHS
Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) ...

Let f(x) = `sqrt(1+x)` , g(x) = `sqrt(1-x)` Find f + g also find the domain of the each case.

Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTION

    MBD PUBLICATION|Exercise QUESTION BANK|103 Videos
  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find fg also find the domain of the each case.

Let f(x) = sqrtx ,g(x)=1-x^2 . Compute fog and gof .

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domains of f and g.

Let f(x)=sqrtx,g(x)=1-x^2 . Compute fog and gof and find their natural domains.

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find their natural domains.

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domain of h(x) = 1-x.

Let f(x)=x^2 and g(x)=sqrtx . Then find (gof)(4).

Let f(x) = sqrt(x) and g(x) = 1 -x^(2) . Show that hgof only on R_(0)={x in R: x gt= 0} and not on R..

MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Identify the constant function if any. {(a,2),(b,3),(c,4)}

    Text Solution

    |

  2. Identify the constant function if any. {(a,3),(b,1),(a,4),(c,2)}

    Text Solution

    |

  3. Identify the constant function if any. {(a,1),(b,1),(c,1)}

    Text Solution

    |

  4. Identify the constant function if any. {(a,1),(b,1),(c,1)}

    Text Solution

    |

  5. Identify the constant function if any. {(a,a),(b,b),(c,c)}

    Text Solution

    |

  6. Find f(sqrt2) and f(-sqrt3) for the function

    Text Solution

    |

  7. Find x for which the value of f(x) = x^2-4x+3 is 0.

    Text Solution

    |

  8. Find x for which the value of f(x) = x^2-4x+3 is -1.

    Text Solution

    |

  9. Find the value/values of x for which the following are not defined. ...

    Text Solution

    |

  10. Find the value/values of x for which the following are not defined. ...

    Text Solution

    |

  11. Find the value/values of x for which the following are not defined. ...

    Text Solution

    |

  12. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f + g also find the domai...

    Text Solution

    |

  13. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f - g also find the domai...

    Text Solution

    |

  14. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find fg also find the domain o...

    Text Solution

    |

  15. Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f^'/g also find the domai...

    Text Solution

    |

  16. If f(x) = loge ((1-x)/(1+x)) , then prove that f(x) + f(y) = f((x + y)...

    Text Solution

    |

  17. Let f = {(-1,4),(2,7) , (-2,11)} , (0,1), (1,2) be a quadratic polynom...

    Text Solution

    |

  18. Sketch the graphs of the following functions. f(x) = x^3

    Text Solution

    |

  19. Sketch the graphs of the following functions. f(x) = 1 + 1/x^2

    Text Solution

    |

  20. Sketch the graphs of the following functions. f(x) = (x-1)^2

    Text Solution

    |