Home
Class 12
MATHS
If F : R rarr R is given by f(x) = (3-x^...

If F : R `rarr` R is given by f(x) = `(3-x^(3))^(1//3)` then find ( fof ) x .

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER 20

    SHARAM PUBLICATION|Exercise EXERCISE|46 Videos
  • MODEL QUESTION PAPER-2

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(1-x^(3))^(1/3) then find fof(x) .

If the function'f : R rarr R is given by f(x) = x^(2) +2 and g:R rarr R is given by g(x) = (x)/(x-1), x ne 1 then find fog and gof and hence find fog (2) and gof (-3) .

Write fog if f:R rarr R and g: R rarr R is given by f(x) = | x| and g(x) = |5x - 2|.

If f:RrarrR and g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3) , then write fog.

Let f:R rarr R be defined by f(x) = x^(2) +1 Then, find pre-images of 17 and - 3.

SHARAM PUBLICATION-MODEL QUESTION PAPER-18-EXERCISE
  1. Using integration, find the area of the region bounded by the curves ...

    Text Solution

    |

  2. Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R ...

    Text Solution

    |

  3. If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) ...

    Text Solution

    |

  4. Let * is the binary operation on N given by a**b=HCF (a, b), where a, ...

    Text Solution

    |

  5. Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3

    Text Solution

    |

  6. Write the solution of the following L.P.P. Maximize z = 3x + 2y subj...

    Text Solution

    |

  7. IF Ay is the cofactor of the element ay of the determinant |{:(2,-3,5)...

    Text Solution

    |

  8. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

    Text Solution

    |

  9. Prove that |[x+y, x, x],[5x+4y, 4x, 2x], [10x+8y, 8x, 3x]|=x^3

    Text Solution

    |

  10. Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)

    Text Solution

    |

  11. Find the inverse of [(1, 3),(2, 7)] by using elementary row operation.

    Text Solution

    |

  12. Find the vector vecp which is perpendicular to both vecalpha = 4hati +...

    Text Solution

    |

  13. Find a unit vector perpendicular to both of the vectors veca + vecb an...

    Text Solution

    |

  14. Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3and (x+1)/4=(y+1)/5=(z+1)/...

    Text Solution

    |

  15. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  16. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  17. If f(x) = {((1-cos4x)/x^2, when x<0),(a, when x=0),((sqrtx)/(sqrt(16 +...

    Text Solution

    |

  18. If y=x^(sinx-cosx)+(x^(2)-1)/(x^(2)+1), then find (dy)/(dx)

    Text Solution

    |

  19. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  20. Evaluate the following integrals : Evaluate int(0)^(pi//2)(xsinxcosx...

    Text Solution

    |