Home
Class 11
MATHS
If f(x)=(x-2)^2 and g(x) =3x-3 then: (f@...

If `f(x)=(x-2)^2 and g(x) =3x-3` then: `(f@g)(2)=`

A

2

B

0

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

If, from RtoR,f(x)=(x+1)^2 and g(x)=x^2+1, then: (f@g)(-3)=

If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

If: f(x)=5-x^2,g(x)=3x-4 , then: (f@g)(-1)=

If f(x)=3x+1 and g(x)=x^(3)+2 then ((f+g)/(f*g))(0) is:

If f and g are real functions defined by "f(x)=2x-1" and g(x)=x^(2) then (A) (3f-2g)(1)=1 (B) (fg)(2)=10 (C) g^(3)(2)=128 (D) ((sqrt(f))/(g))(2)=(sqrt(3))/(2)

If f(x)=|x-2| and g(x)=f[f(x)], then g'(x)=......... for x>2

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f-g)(2) (iii) (f*g)(1)" "(iv) ((f)/(g))(5)

If g(x)=x^3+x-2 and g(f(x))=x^3+3x^2+4x then f(1)+f(2) is equal to ________

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If phi(x)=x^2-6x+8 where x in R then the range of the function phi is ...

    Text Solution

    |

  2. If f(x)=(2x+1)/(3x-2) then: (f@f)(2)=

    Text Solution

    |

  3. If f(x)=(x-2)^2 and g(x) =3x-3 then: (f@g)(2)=

    Text Solution

    |

  4. If the function f(x)=3x+a and g(x) =4x+9 are such that (g@g)(x)=(g@f)(...

    Text Solution

    |

  5. If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

    Text Solution

    |

  6. If f={(1,2),(2,3),(3,5),(5,8)} and g={(2,1),(3,2),(5,3),(8,5)} then f@...

    Text Solution

    |

  7. If f:R->R and g:R->R defined by f(x)=2x+3 and g(x)=x^2+7 then the valu...

    Text Solution

    |

  8. If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

    Text Solution

    |

  9. If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

    Text Solution

    |

  10. If y=f(x) is one-one onto function, then: (f^-1@f)(x)=

    Text Solution

    |

  11. If y=f(x) is one-one onto function, then: (fof^-1)(y)=

    Text Solution

    |

  12. If f(x)=(2x+3)/(x-2), then: (f@f)(x)=

    Text Solution

    |

  13. If a function f(x)=(ax+b)/(cx+d) is such that (f@f)(x)=x, then

    Text Solution

    |

  14. If f((a x+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b) (c) f(...

    Text Solution

    |

  15. If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),

    Text Solution

    |

  16. If f(x)=a-(1)/(x+b), where a+b=1, then: (f@f@f)(x)=

    Text Solution

    |

  17. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

    Text Solution

    |

  18. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

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

    Text Solution

    |

  20. If A={(x, y): y = e^x, x in R} and B={(x,y):y=e^(-2x), x in R}, then

    Text Solution

    |