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

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

Promotional Banner

Topper's Solved these Questions

  • PREVIOUS YEAR QUESTION 2017

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |51 Videos

  • PREVIOUS YEAR QUESTION 2019

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |46 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.

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.

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) = 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) =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.

USHA PUBLICATION-PREVIOUS YEAR QUESTION 2018-PREVIOUS YEAR QUESTION
  1. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

    Text Solution

    |

  2. Let R be a relation on the set A of ordered pairs of positive integers...

    Text Solution

    |

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

    Text Solution

    |

  4. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  5. Show that sin^(-1)sqrt(frac[x-q][p-q])=cos^(-1)sqrt(frac[p-x][p-q])=co...

    Text Solution

    |

  6. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

    Text Solution

    |

  7. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

    Text Solution

    |

  8. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  9. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

    Text Solution

    |

  10. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

    Text Solution

    |

  11. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

    Text Solution

    |

  12. Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...

    Text Solution

    |

  13. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  14. Test the differentiability and continuity of the following function at...

    Text Solution

    |

  15. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  16. Show that 2sinx+3tanxgt3x for all xin(0,frac[pi][2])

    Text Solution

    |

  17. Evaluate int (dx)/((x+1)sqrt(1-x^2))

    Text Solution

    |

  18. Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2

    Text Solution

    |

  19. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  20. From the differential equation whose general solution is y=asint+be^t.

    Text Solution

    |