Home
Class 11
MATHS
Le f:[0,\ oo)->R\ a n d\ g: R->R be defi...

Le `f:[0,\ oo)->R\ a n d\ g: R->R` be defined by `f(x)=sqrt(x)` and `g(x)=xdot` Find `f+g,\ f-g,\ fg\ a n df/gdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

If f:[0,oo)->R and g: R->R be defined as f(x)=sqrt(x) and g(x)=-x^2-1, then find gof and fog

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

Let f(x)=sqrt(6-x),g(x)=sqrt(x-2) . Find f+g,f-g,f.g and f/g.

Find gof and fog when f: R->R and g: R->R is defined by f(x)=x and g(x)=|x|

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+x^2 and g(x)=x^3

Find gof and fog when f: R->R and g: R->R is defined by f(x)=2x+3 and g(x)=x^2+5

Find gof and fog when f: R->R and g: R->R is defined by f(x)=x^2+2x-3 and g(x)=3x-4

Find gof and fog when f: R->R and g: R->R is defined by f(x)=8x^3 and g(x)=x^(1//3)

Let [-1,1] to R and g : R to R be two functions defined by f(x)=sqrt(1-x^(2)) and g(x)=x^(3)+1 . Find the function f+g , f-g , fg and f//g .

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n...

    Text Solution

    |

  2. Let f, g : R -> R be defined, respectively by f(x)" "=" "x" "+" "1 ,g(...

    Text Solution

    |

  3. Le f:[0,\ oo)->R\ a n d\ g: R->R be defined by f(x)=sqrt(x) and g(x)=x...

    Text Solution

    |

  4. Let f(x)=x^2 and g(x)" "=" "2x" "+" "1 be two real functions....

    Text Solution

    |

  5. Write the range of the real function f(x)=|x|dot

    Text Solution

    |

  6. If f(x)=cos[pi]^2x+cos[-pi^2]x ,\ w h e r e\ [x] denotes the greatest ...

    Text Solution

    |

  7. Writhe the range of the function f(x)=cos[x],\ w h e r e-\ pi/2<x<pi/2...

    Text Solution

    |

  8. Write the range of the function f(x)=e^(x-[x]),\ x in Rdot

    Text Solution

    |

  9. If f(x)=1-1/x then write the value of f(f(1/x))dot

    Text Solution

    |

  10. Write the domain and range of the function f(x)=(x-2)/(2-x) .

    Text Solution

    |

  11. If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

    Text Solution

    |

  12. If f,\ g,\ h are real functions given by f(x)=x^2,g\ (x)=tanx\ a n d\ ...

    Text Solution

    |

  13. Write the domain and range of function f(x) given by f(x)=1/(sqrt(x-[x...

    Text Solution

    |

  14. Write of the domain and range of f(x)=sqrt(x-[x])dot

    Text Solution

    |

  15. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x).

    Text Solution

    |

  16. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

    Text Solution

    |

  17. Let f a n d g be two functions given by f={(2,4), (5,6), (8,-1), (10 ,...

    Text Solution

    |

  18. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

    Text Solution

    |

  19. Let f\ a n d\ g be two real function given by f={(0,1),\ (2,0),\ (3,-4...

    Text Solution

    |

  20. Let A=[1,2,3],\ B=[2,3,4],\ then which of the following is a function...

    Text Solution

    |