Home
Class 12
MATHS
If f\ : R-: R be defined by f(x)=(3-x...

If `f\ : R-: R` be defined by `f(x)=(3-x^3)^(1//3)\ ,` then find `fof(x)`

Text Solution

Verified by Experts

x
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION OR DERIVATIVE OF A FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|223 Videos
  • INTEGRATION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|48 Videos

Similar Questions

Explore conceptually related problems

f:R rarr R defined by f(x)=x^(3)-4

If f: R->R be given by f(x)=(3-x^3)^(1//3) , then fof(x) is (a) 1/(x^3) (b) x^3 (c) x (d) (3-x^3)

If f" R -{3/5} to R be defined by f(x)=(3x+2)/(5x-3) , then :

If f:R rarr R be given by f(x)=(3-x^(4))^(1/4) ,then fof(x) is

5.Let f:R rarr R be defined by f(x)=x^(2)-1 .Then find fof (2)

If f:R rarr R defined by f(x)=(x-1)/(2) , find (f o f)(x)

If the function f:R rarr R , g:R rarr R defined by f(x)=3x-1 , g(x)=x^(2)+1 then find i) (fof)(x^(2)+1) ii) (fog )(2)

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

MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Which of the following functions are even and which odd? f(x)=x^3+x

    Text Solution

    |

  2. which of the following functions are even and which odd? f(x)=x^3+x

    Text Solution

    |

  3. if f(x)=1/(1-x) then find f((x-1)/x)

    Text Solution

    |

  4. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  5. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  6. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  7. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  8. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  9. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  10. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  11. Draw the graph of the following functions and hence find the range of ...

    Text Solution

    |

  12. Draw the graph of the following functions and hence find its ranges f(...

    Text Solution

    |

  13. Draw the graph of the following functions and hence find its ranges : ...

    Text Solution

    |

  14. Draw the graph of the following functions and hence find its ranges: f...

    Text Solution

    |

  15. Check the injectivity and surjectivity of the following functions f:Zr...

    Text Solution

    |

  16. Check the injectivity and surjectivity of the following functions f:R ...

    Text Solution

    |

  17. Check the injectivity and surjectivity of the following functions f:R-...

    Text Solution

    |

  18. Check the injectivity and surjectivity of the following functions f:Rr...

    Text Solution

    |

  19. If f:R-{2/3}rarr R defined by f(x)=(4x+3)/(6x-4) show that f(f(x))=x

    Text Solution

    |

  20. Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one...

    Text Solution

    |