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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 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)

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value of the following integral: int(-pi/2)^(pi/2)sin^5x\ dx

    Text Solution

    |

  2. A is a square matrix of order 3\ and |A|=7. Write the value of ...

    Text Solution

    |

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

    Text Solution

    |

  4. Write the principal value of sec^(-1)(-2)

    Text Solution

    |

  5. What positive value of x makes the following pair of determinants equa...

    Text Solution

    |

  6. Write the distance of the following plane from the origin: 2x-y+2z...

    Text Solution

    |

  7. Write a vector of magnitude 9 units in the direction of vector -2 h...

    Text Solution

    |

  8. Evaluate : int(6x+7)/(sqrt((x-5)(x-4)))\ dx

    Text Solution

    |

  9. Evaluate: intsinxsin2xsin3x dx

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  11. Find the volume of the larges cylinder that can be inscribed in a s...

    Text Solution

    |

  12. If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

    Text Solution

    |

  13. If y=e^a cos^((-1)x)\ ,\ -1\ lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-...

    Text Solution

    |

  14. If x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y , then prove that...

    Text Solution

    |

  15. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

    Text Solution

    |

  16. Evaluate: int2^3 1/x\ dx

    Text Solution

    |

  17. Three bags contain balls as shown in the table below: Bag Numb...

    Text Solution

    |

  18. A diet is to contain at least 80 units of Vitamin A and 100 units o...

    Text Solution

    |

  19. Using matrices, solve the following system of equations: 2x-3y+5z=11...

    Text Solution

    |

  20. Find the equation of the plane passing through the point (-1,3,2) and ...

    Text Solution

    |