Home
Class 12
MATHS
Let R be the set of real numbers and the...

Let R be the set of real numbers and the function `f: RR to RR and g: RR to RR` be defined by `(f)x=x^(2)+2x-3 and g(x)=x+1`. The the value of x for which `f(g(x))=-g(f(x))`, is

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let RR be the set of real numbers and the functions f: RR to RR and g : RR to RR be defined by f(x ) = x^(2)+2x-3 and g(x ) = x+1 , then the value of x for which f(g(x)) = g(f(x)) is -

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

Let C be the set of complex numbers and the function f:RR to RR,g:C to C be defined by f(x) =x^2 and g(x)=x^2 state with reason whether f = g or not.

Let RR be the set of real numbers . If the functions f:RR rarr RR and g: RR rarr RR be defined by , f(x)=3x+2 and g(x) =x^(2)+1 , then find ( g o f) and (f o g) .

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

Let the function f:RR rarr RR and g: RR rarr RR be defined by f(x)=x^(2) and g(x)=x+3, evaluate (f o g) (2) , (ii) (g o f) (3)

Let the function f:RR rarr RR and g:RR be defined by f(x) = sin x and g(x)=x^(2) . Show that, (g o f) ne (f o g) .

Let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=x+1 and g(x)=x-1 Prove that , (g o f)=(f o g)=I_(RR)

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. An run contains 9 red and 5 white balls. Three balls are drawn at rand...

    Text Solution

    |

  2. Two coins are available, one fair the other two- headed. Choose a coin...

    Text Solution

    |

  3. Let R be the set of real numbers and the function f: RR to RR and g: R...

    Text Solution

    |

  4. If a,b,c are in arithmetic progression then the roots of the equation ...

    Text Solution

    |

  5. The equation y^(2)+4x+4y+k=0 represents a parabola whose latus rectum ...

    Text Solution

    |

  6. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

    Text Solution

    |

  7. If four distinct points (2k, 3k) (2,0) (0,3) (0,0) lie on a circle, th...

    Text Solution

    |

  8. The line joining A( b cos alpha, b sin alpha) and B( a cos beta, alpha...

    Text Solution

    |

  9. Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle ...

    Text Solution

    |

  10. The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2...

    Text Solution

    |

  11. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

    Text Solution

    |

  12. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

    Text Solution

    |

  13. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

    Text Solution

    |

  14. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

    Text Solution

    |

  15. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

    Text Solution

    |

  16. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

    Text Solution

    |

  17. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

    Text Solution

    |

  18. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

    Text Solution

    |

  19. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

    Text Solution

    |

  20. The maximum value of |z| when the complex number z satisfied the condi...

    Text Solution

    |