Home
Class 12
MATHS
Let f: RrarrR defined by f(x)=x+1 and g:...

Let `f: RrarrR` defined by `f(x)=x+1` and `g:R rarr R` defined as `g(x)= sqrtx` find `fog` and `gof` if defined.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2020

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

  • TEST PAPER 10

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

Let f: R rarr R be defined by f(x) = 2x - 3 and g: R rarr R be defined by g(x) = (x+3)/(2) , show that fogʻ= I_(R)

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

Let f, g: R rarr R defined by f(x) = |x| + x , g(x) = |x|-x for all x in R then find fog and gof .Hence find (fog) (-3) , (fog) (5) and (gof) (-2) .

If the function f:RrarrR is given by f (x)=(x)^2+3x+1 and g:RrarrR is given by g(x)=2x-3 than find fog and gof.

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) .

Let f:RrightarrowR be defined as f(x)=3x . Then f is one-one and onto

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

MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

    Text Solution

    |

  2. Prove the following by vector method. In a triangle AOB, mangleAOB = 9...

    Text Solution

    |

  3. Let f: RrarrR defined by f(x)=x+1 and g:R rarr R defined as g(x)= sqrt...

    Text Solution

    |

  4. Solve cos(2sin^(-1)x) = 1/9.

    Text Solution

    |

  5. Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].

    Text Solution

    |

  6. Fill in the blanks with appropriate answer from the brackes. If [[a,b...

    Text Solution

    |

  7. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

    Text Solution

    |

  8. What is the value of int0^(pi/2)log tan x dx?

    Text Solution

    |

  9. Write the general solution of (ydx-xdy)/y=0.

    Text Solution

    |

  10. Write the distance between the plane x-2y+z=6 and 2x-4y+2z=8

    Text Solution

    |

  11. What is the image of the point (6, 3, -4) with respect to yz- plane ...

    Text Solution

    |

  12. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

    Text Solution

    |

  13. Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...

    Text Solution

    |

  14. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

    Text Solution

    |

  15. Let A and B are symmetric matrices of the same order. Prove that AB is...

    Text Solution

    |

  16. Express abs((a^2,2ab,b^2),(b^2,a^2,2ab),(2ab,b^2,a^2)) in the form of ...

    Text Solution

    |

  17. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

    Text Solution

    |

  18. Discuss the continuity and differentiability of function f(x)=|x|+|x-1...

    Text Solution

    |

  19. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  20. Find dy/dx for (x+y)^(cosx) = e^(x+y).

    Text Solution

    |