Home
Class 12
MATHS
If f(x)=(a-x^(n))^(1 / n), then f(f(x))=...

If `f(x)=(a-x^(n))^(1 / n)`, then `f(f(x))`=

A

1.x

B

2.a-x

C

3.`x^n`

D

4.`x^(1)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (1-x)/(1+x) , then f[f(cos x)] =

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to

If f(x) = (x-3)/(x+1) , then f[f{f(x)}] =

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

If f(x) = 1 - 1/x , then f(f(1/x)) =

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

If f(x) = xe^(x(1-x) , then f(x) is

If g is the inverse function of f and f^(')(x) = 1/(1+x^(n)) , then g^(')(x) eauals

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. In a college of 300 students , every student reads 5 newspapers and ev...

    Text Solution

    |

  2. Two finite sets have m and n elements. The number of subsets of the fi...

    Text Solution

    |

  3. If f(x)=(a-x^(n))^(1 / n), then f(f(x))=

    Text Solution

    |

  4. If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3andg(x)=x^(2...

    Text Solution

    |

  5. If f(x)=2 x^(2)+x+1 and g(x)=3 x+1 then f o g(2)

    Text Solution

    |

  6. Two functions f: R rarr R and g: R rarr R are defined by f(x) = {...

    Text Solution

    |

  7. If f(x)=(25-x^(4))^(1 / 4) for 0ltxltsqrt(5), then f(f((1)/(2)))=

    Text Solution

    |

  8. If x ne 1 and f(x)=(x+1)/(x-1) is a real function then f(f(f(2))) is

    Text Solution

    |

  9. If f(x)=(2 x+1)/(3 x-2), then f o f(2) is equal to

    Text Solution

    |

  10. If the functions f, g, h are defined from the sets of real numbers R t...

    Text Solution

    |

  11. If f: (R) rarr (R) and g (R) rarr (R) defined by f(x)=2x+3andg(x)=x^(2...

    Text Solution

    |

  12. Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),(0","x=0),(1","x>0):} Then fo...

    Text Solution

    |

  13. If g(f(x))=|sin x| and f(g(x))=(sin sqrt(x))^(2) then

    Text Solution

    |

  14. Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3) + cos ^(2) (x - (pi)/(...

    Text Solution

    |

  15. If e^(f(x))=(10+x)/(10-x), x in(-10,10) and f(x)=k f((200 x)/(100+x^(...

    Text Solution

    |

  16. Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

    Text Solution

    |

  17. If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))), for x...

    Text Solution

    |

  18. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  19. Let, f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then the set...

    Text Solution

    |

  20. Let f: R rarr R be given by f(x)=(x+1)^(2)-1, x ge-1 . Then f^(-1)(x)...

    Text Solution

    |