Home
Class 12
MATHS
Let f(x) =sqrtx ,g(x)=1-x^2. Compute fog...

Let f(x) =`sqrtx ,g(x)=1-x^2`. Compute fog and gof .

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER -17

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

  • MODEL QUESTION PAPER 13

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

Similar Questions

Explore conceptually related problems

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find their natural domains.

If f(x)=sqrtx and g(x)=1-x^2 , then find gof and fog. If h(x)=1-x , then whether gof=h?

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domains of f and g.

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domain of h(x) = 1-x.

Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f + g also find the domain of the each case.

Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find f - g also find the domain of the each case.

Let f(x) = sqrt(1+x) , g(x) = sqrt(1-x) Find fg also find the domain of the each case.

Let f(x) = sqrt(x) and g(x) = 1 -x^(2) . Show that hgof only on R_(0)={x in R: x gt= 0} and not on R..

SHARAM PUBLICATION-MODEL QUESTION PAPER 12-EXERCISE
  1. Write the angle between the planes 3x -5y + 2z-8 = 0 and 2x + 4y + 7z ...

    Text Solution

    |

  2. Show that the relation R defined on the set Z of all integers defined ...

    Text Solution

    |

  3. Let f(x) =sqrtx ,g(x)=1-x^2. Compute fog and gof .

    Text Solution

    |

  4. Consider the binary operation ** on the set {1, 2, 3, 4 5} defined by ...

    Text Solution

    |

  5. Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2).

    Text Solution

    |

  6. Solve the LPP Maximize z=3x+2y Subject to x+yle400 2x+yle500 ,xge0...

    Text Solution

    |

  7. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

    Text Solution

    |

  8. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  9. Factorise the determinant |[x^3-a^3,x^2,x],[b^2-a^3,b^2,b],[c^3-a^3,c^...

    Text Solution

    |

  10. Factorize the following. [[x+a,b,c],[b,x+c,a],[c,a,x+b]]

    Text Solution

    |

  11. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |

  12. Find the value of k if the function f(x) defined by f(x)={(2x-1,whenx<...

    Text Solution

    |

  13. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  14. If y^2cot x = x^2 coty then find (dy)/(dx)

    Text Solution

    |

  15. Find the intervals where function is increasing function y = cos x + s...

    Text Solution

    |

  16. Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

    Text Solution

    |

  17. Integrate int sec xtanx.sqrt(tan^2x-3).dx

    Text Solution

    |

  18. int(xe^x)/(1+x^2)dx

    Text Solution

    |

  19. Evaluate int0^1[tan^-1x+x/(1+x^2)]dx

    Text Solution

    |

  20. Find the area of region enclosed by y^2 = 4ax and x^2 = 4ay.

    Text Solution

    |