Home
Class 11
MATHS
If f(x): (25-x^4)^(1/4) for 0< x< sqr...

If ` f(x): (25-x^4)^(1/4)` for `0< x< sqrt5` then `f(f(1/2))`=

A

`2^-4`

B

`2^-3`

C

`2^-2`

D

`2^-1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4+5x))^(1/x)", for " x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4))^(8/x)", for " x!=0 , then f(0)=

If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", if " x = 0 ):} is continuous at x = 0 , then k = …..

If f:R rarr R such that f(x)=(4^(x))/(4^(x)+2) for all x in R then (A)f(x)=f(1-x)(B)f(x)+f(1-x)=0(C)f(x)+f(1-x)=1(D)f(x)+f(x-1)=1

Let f: R -{0} to R be defined by f(x) =x + 1/x , then range of g(x) = (f(x))^(4) - f(x^(4)) - 4(f(x))^(2) , is

If f(x) is continuous at x=0 , where f(x)=(4^(x)-e^(x))/(6^(x)-1) , for x!=0 , then f(0)=

Let f: R - {0} to R be defined by f(x) = x+ 1/x , then 7 + f((x))^(4) -f(x^(4)) - 4(f(x))^(2) is equal to……….

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If f (x) = (x ^(2) - 3x +4)/(x ^(2)+ 3x +4), then complete solution of 0lt f (x) lt 1, is :

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  2. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  3. If f(x): (25-x^4)^(1/4) for 0< x< sqrt5 then f(f(1/2))=

    Text Solution

    |

  4. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  5. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  6. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  7. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

    Text Solution

    |

  8. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

    Text Solution

    |

  9. If: f(x)=bx^2+cx+d and: f(x+1)-f(x)=8x+3, then:

    Text Solution

    |

  10. if f(x)=x/(x-1) then f(a) / f(a+1)=?

    Text Solution

    |

  11. If: f(theta)=log((1+theta)/(1-theta)), then: f((2theta)/(1+theta^2))=

    Text Solution

    |

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

    Text Solution

    |

  13. If f(x)=(x-|x|)/(|x|), then f(-1)=

    Text Solution

    |

  14. If f(x) = 4x^3 + 3x^2 + 3x + 4, then x^3f(1/x) isequal to

    Text Solution

    |

  15. If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...

    Text Solution

    |

  16. If f(x) = x/(x-1)=1/y then the value of f(y) is

    Text Solution

    |

  17. Let the function f be defined by f(x) = ((2x +1) / (1-3x)) then f^-1 (...

    Text Solution

    |

  18. If f(x)=(2x-1)/(x+5),xne-5, then f^(-1)(x) is equal to

    Text Solution

    |

  19. Let f(x) be the greatest integer function and g(x) be the modulus func...

    Text Solution

    |

  20. If: f(x)=(x)/(x+1) andg(x)=(x)/(1-x), then: (f@g)(x)=

    Text Solution

    |