Home
Class 12
MATHS
If g(x)=x^(2)+x-2 and (1)/(2)(g o f)(x)=...

If `g(x)=x^(2)+x-2` and `(1)/(2)(g o f)(x)=2x^(2)-5x+2`, then f(x) is equal to -

A

`2x+3`

B

`2x^(2)+3x+1`

C

`2x^(2)-3x-1`

D

`2x-3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 2|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If g(x)=x^(2)+x-2 and (g o f)(x)=2(2x^(2)-5x+2) , then f(x)=

If f(x)=|x^2-5x+6|, then f'(x) equals

Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(x)=x+5 . Then , (gof)(x) is equal to -

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

If '' (x)=-f(x) and g(x)=-f'(x) and F(x)=(f(x/2))^2 + (g(x/2))^2 and given that f(5)=5, then f(10) is equal to

If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

If f(x) is defined on [2,2] by f(x) = 4x^2-3x+1 and g(x) = (f(-x)-f(x))/(x^2+3) then int_(-2)^2g(x) dx is equal to

Let f(x) = 3/( 3x^2 - 9) and g(x)= x^2/( 3x^2 - 9) int (g(x) - f(x)) dx is equal to ?

If f(x)=sinx+cosx and g(x)=x^2-1 , then g(f (x)) is invertible in the domain ?.

If f(x)=1+x^2 and f(g(x))=1+x^2-x^3+x^4 ,g(2)=2,then g(3) equals

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If g(x)=x^(2)+x-2 and (1)/(2)(g o f)(x)=2x^(2)-5x+2, then f(x) is equa...

    Text Solution

    |

  2. The inverse of the matrix [(1, 0,0),(a,1,0),(b,c,1)] is -

    Text Solution

    |

  3. If A=|a(ij)| and A(ij) denotes the cofactor of a(ij), then which of th...

    Text Solution

    |

  4. The minors of (-4) and 9 and the cofactors of (-4) and 9 in matrix [(...

    Text Solution

    |

  5. If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

    Text Solution

    |

  6. If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no so...

    Text Solution

    |

  7. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

    Text Solution

    |

  8. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  9. The value of the determinant |(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)...

    Text Solution

    |

  10. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  11. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  13. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  14. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  15. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  16. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  17. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  18. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  19. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  20. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  21. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |