Home
Class 12
MATHS
If f(x) = cos(log x), then f((1)/(x)) f(...

If `f(x) = cos(log x)`, then `f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y))`+ f(xy)] =`

A

`cos(x-y)`

B

`log[cos(x+y)]`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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) = log (tan x), then f^(')(x) =

If f(x)=cos(logx) , then f(x^2)f(y^2)-(1)/(2)[f((x^2)/(y^2))+f(x^(2)y^(2))] has the value :

if f(x) = cos (log x) then the value of f(x) f(y)-(1//2) [f(x//y) + f(xy) ] is

If f(x)=cos(logx) , then : f(x).f(y)-(1)/(2)(f((x)/(y))+f(xy)) has the value :

If f(x) = 1+x^4 , then f(x).f((1)/(x))=

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

If f(x) = log_(a) (log_(a)x) , then f^(')(x) is

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

If f(x)=1-(1)/(x),"then"f[f((1)/(x))] is :

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If A = (x: x = (1)/(y), y in N), where N is the set of natural numbers...

    Text Solution

    |

  2. If f(x) = 1+x^4, then f(x).f((1)/(x))=

    Text Solution

    |

  3. If f(x) = cos(log x), then f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y))+ ...

    Text Solution

    |

  4. Two functions f:R rarr R and g:R rarrR are defined as below f(x) = {(0...

    Text Solution

    |

  5. The domain of the function f(x)=sqrt(2-2x-x^2) is

    Text Solution

    |

  6. If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

    Text Solution

    |

  7. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 is gi...

    Text Solution

    |

  8. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  9. The mapping f:R^+ rarr R defined by f(x) = log{10}x, (Where R^+ is the...

    Text Solution

    |

  10. The function f(x) = 10^x from the set R of real numbers to [0,oo) is

    Text Solution

    |

  11. If R denotes the set of all real numbers than the function f : R rarr ...

    Text Solution

    |

  12. If f : N xx N rarr N is such that f (m,n) = m+n, for all n in N, where...

    Text Solution

    |

  13. If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x) is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If f(x) = x/(x - 1) = 1/y, then f(y)=

    Text Solution

    |

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

    Text Solution

    |

  18. The number of bijective functions from the set A to itself, if A conta...

    Text Solution

    |

  19. If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1, then g(x...

    Text Solution

    |

  20. Let A be a set containing 10 distinct elements . Then the total number...

    Text Solution

    |