Home
Class 12
MATHS
Letf(x)=x^2 and g(x)=sinx for all xIR th...

Let`f(x)=x^2` and `g(x)=sinx` for all `xIR` then the set of all `x` satisfying `(f o g o g o f ), (x)=(g o g o f) , (x)` , where `(f o g ) , (x)=f(g(x))`, is

A

`+-sqrt(npi),n epsilon{0,1,2,…………….}`

B

`+-sqrt(npi,n epsilon{1,2,………..}`

C

`(pi)/2+2npi,n epsilon{….-2,-1,0,1,2,………}`

D

`2npi,n epsilon{……….,-2,-1,0,1,2,……..}`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=2x-sinx and g(x) = 3sqrtx . Then

If f(x) = ax + b and g(x) = cx + d, then f(g(x))=g(f(x)) implies

Two functions f and g are defined on the set of real numbers RR by , f(x)= cos x and g(x) =x^(2) , then, (f o g)(x)=

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

Let f: RR rarr RR and g: RR rarr RR be two mapping defined by f(x)=x^(2)+3x+1 and g(x)=2x-3 . Find formulas which define the composite mappings (i) (f o f), (ii)(g o g), (iii) (g o f) , (iv) ( f o g)

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)

Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non-negative real numbers. Find (f+g) (x), (f-g), (fg) (x) and (f/g) (x) .

int [f(x)g"(x) - f"(x)g(x)]dx is

Let f(x)=sin x+cosx and g(x)=x^(2)-1 , then g{f(x)} is invertible if -

Let the functions f and g on the set of real numbers RR be defined by, f(x)= cos x and g(x) =x^(3) . Prove that, (f o g) ne (g o f).

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the range of f(theta)=5costheta+3cos(theta+pi/3)+3

    Text Solution

    |

  2. If f: RtoS , defined by f(x)=sinx-sqrt(3)cosx+1,is onto , then find ...

    Text Solution

    |

  3. Letf(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying...

    Text Solution

    |

  4. Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^(2)).

    Text Solution

    |

  5. Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but no...

    Text Solution

    |

  6. If f(x) is a polynomial satisfying f(x)f(1//x)=f(x) +f(1//x) and f(3)...

    Text Solution

    |

  7. Solve log("tan x")(2+4 cos^(2) x)=2.

    Text Solution

    |

  8. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  9. Prove that the least positive value of x , satisfying tanx=x+1,lies i...

    Text Solution

    |

  10. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  11. Find the range of f(x)=sec(pi/4cos^2x)

    Text Solution

    |

  12. The number of values of x for which |||x^2-x+4|-2|-3|=x^2+x-12 is

    Text Solution

    |

  13. Which of the following function from Z to itself are bijections? f(x)=...

    Text Solution

    |

  14. Find the domain and range of f(x)=log{x},w h e r e{} represents the fr...

    Text Solution

    |

  15. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

    Text Solution

    |

  16. If f:NrarrN f(n)={(n+1)/2; when n is odd =n/2;...

    Text Solution

    |

  17. Find the domain and range of f(x)=sin^(-1)[x] where [] represents the ...

    Text Solution

    |

  18. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

    Text Solution

    |

  19. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

    Text Solution

    |

  20. Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...

    Text Solution

    |