Home
Class 11
MATHS
If f(x)=(2^x+2^-x)/2, then f(x+y) f(x-y)...

If `f(x)=(2^x+2^-x)/2`, then f(x+y) f(x-y) is equal to:

A

`1/2[f(2x)+f(2y)]`

B

`1/2[f(2x)-f(2y)]`

C

`1/3[f(2x)+f(2y)]`

D

`1/3[f(2x)-f(2y)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

If f(x) =(x^2) , then f@ f(x) =

If the system of equtions 2x-y+z=0,x-2y+z=0, tx-y+2z=0 has infinitely many solution and f(x) be a continuous function such that f(5+x)+f(x)=2, then f_(0)^(-2t) f(x) dx is equal to

If f(x)=(x-4)/(2sqrtx) , then f'(1) is equal to:

If f(x)=(x-4)/(2sqrt3) , then f'(1) is equal to?

If f(x)=log((1+x)/(1-x)) , then f((2x)/(1+x^2)) equal to:

If f(x) = (x+2)/(3x-1) then f (f(x)) is

Let f(x) = [x] , then f(-(3)/(2)) is equal to :

For x in R , the functions f(x) satisfies 2f(x)+f(1-x)=x^(2) . The value of f(4) is equal to

Let f: R rarr R be a continuous function given by f(x+y)=f(x)+f(y) for all x,y, in R, if int_0^2 f(x)dx=alpha, then int_-2^2 f(x) dx is equal to

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If f(x)=(2^x+2^-x)/2, then f(x+y) f(x-y) is equal to:

    Text Solution

    |

  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

    Text Solution

    |

  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

    Text Solution

    |

  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

    Text Solution

    |

  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

    Text Solution

    |

  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

    Text Solution

    |

  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  8. Find the range of the following functions: f(x)=1+3 cos2x

    Text Solution

    |

  9. Find the range of the following functions: f(x)=1-|x-2|

    Text Solution

    |

  10. Find the range of the following functions: f(x)=3/(2-x^2).

    Text Solution

    |

  11. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

    Text Solution

    |

  14. Find the domain and range of the following functions: f(x)=|x-3|

    Text Solution

    |

  15. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

    Text Solution

    |

  16. If f(x)=(x-1)/(x+1), then show that f(-1/x)=-1/f(x).

    Text Solution

    |

  17. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  18. Find the domain of each of the following functions: x|x|

    Text Solution

    |

  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

    Text Solution

    |

  20. Find the domain of f(x)=1/sqrt(1-cosx)

    Text Solution

    |

  21. Find the range of f(x)=1-|x-2|.

    Text Solution

    |