Home
Class 12
MATHS
If f(x)=(1-x^(3))^(1/3) then find fof(x)...

If `f(x)=(1-x^(3))^(1/3)` then find `fof(x)`.

Text Solution

Verified by Experts

`f(f(x))=[1-{f(x)}^(3)]^(1/3)` = `[1-(1-x^(3))]^(1/3)=x`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 3

    MODERN PUBLICATION|Exercise PROBLEM|63 Videos

  • TEST PAPER 5

    MODERN PUBLICATION|Exercise PROBLEM|41 Videos

Similar Questions

Explore conceptually related problems

If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) x .

If f(x)=x^3 and g(x)=x^(1/3) . Then find gof(x):

If f(x)=27x^(3) and g(x) =x^(1//3) . Then, find gof(x).

If f(x)=tan^(-1)x , then find f''(x).

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

If f(x)=(a-x^n)^(1/n) where a>0 and ninN then fof(x) is equal to-

MODERN PUBLICATION-TEST PAPER 4-PROBLEM
  1. If f(x)=(1-x^(3))^(1/3) then find fof(x).

    Text Solution

    |

  2. Find the value of sin^(-1){sin2π/3}.

    Text Solution

    |

  3. Let|A|=n and|B|=m.How many functions can be there from A to B.

    Text Solution

    |

  4. For what k,x-ky-z=0 kx-y-z=0 x+y-z=0 has a non zero solution?

    Text Solution

    |

  5. Differentiate cos^(-1)[x+e^(-x)] w.r.t. x.

    Text Solution

    |

  6. Find the intervals in which the function y=(lnx)/(x) is increasing and...

    Text Solution

    |

  7. what is the value of int1^4 (x)dx.

    Text Solution

    |

  8. What is the order of the differential equation whose solution is ax^(2...

    Text Solution

    |

  9. If |veca +vecb| = |veca|+|vecb| then what is the angle between veca an...

    Text Solution

    |

  10. Write the equation of the plane perpendicular to z-axis and passing th...

    Text Solution

    |

  11. Constract the composition table/multiplication table for the binary op...

    Text Solution

    |

  12. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

    Text Solution

    |

  13. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

    Text Solution

    |

  14. (Allocation Problem.)A farmer has 5 acres of land on which he wishes t...

    Text Solution

    |

  15. Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...

    Text Solution

    |

  16. Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...

    Text Solution

    |

  17. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

    Text Solution

    |

  18. If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...

    Text Solution

    |

  19. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  20. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

    Text Solution

    |