Home
Class 11
MATHS
Let f(x)=sqrtx and g(x)=x be two funct...

Let `f(x)=sqrtx` and `g(x)=x` be two
functions defined over the set of non-
negative real numbers. Find `(f+g)(x)`, `(f-g)(x)`,`(fg)(x)` and `(f/g)(x)`

Text Solution

Verified by Experts

We, have `(f+g)(x)=sqrtx+x,(f-g)(x)=sqrtx-x`
`(f g) x=sqrtx(x)=x^3/2` and `(f/g)(x)=sqrtx/x=x^-1/2, x ne 0`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|89 Videos

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^2 and g(x)=2x+1 be two functions defined over the set of non- negative real numbers. Find (f+g)(x) , (f-g)(x) , (fg)(x) and (f/g)(x)

If f(x)=x^2-3x and g(x)=x+2 find (f+g)(x) , (f-g)(x) and (fg)(x)

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find fg

If f(x)=x+1 and g(x)=2x , then f{g(x)} is equal to

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f-g

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f/g

Let f(x)=frac(x-1)(x-3),xne3 and g(x)=frac(x-3)(x-1),xne1 be two functios defined on R Find f^-1(x) and g^-1(x),xne1

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find (i) f+g

Let f be a function defined on [0,2], then find the domain of function g(x) = f (9x^2 -1)

If f(x)=x^2+x-1 and g(x)=4 x-7 . be real functions then find: i) (f+g)(2) ii) (f-g)(7) (iii) (fg) (- 5 ) iv) (f/g)(4)

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
  1. Draw the graph of the function f: R rarr R defined by f(x)=x^3, x in R...

    Text Solution

    |

  2. Let f(x)=x^2 and g(x)=2x+1 be two functions defined over the set of ...

    Text Solution

    |

  3. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of n...

    Text Solution

    |

  4. Which of the following relations are functions ? Give reasons. If it i...

    Text Solution

    |

  5. Find the domain and range of the following functions. f(x)=-abs[x]

    Text Solution

    |

  6. A function f is defined as f(x)=2x-5. Write down the values of f(0),...

    Text Solution

    |

  7. The function 't' which maps temperature in degree Celsius into tempera...

    Text Solution

    |

  8. Find the range of the following functions. f(x)=2-3x,x in R,x>0

    Text Solution

    |

  9. Let R be the set of real numbers. Define the real function. f: R rarr ...

    Text Solution

    |

  10. Let R be a.relation from Q to Q defined by R={(a, b): a, b in Q and a-...

    Text Solution

    |

  11. Let f={(1,1),(2,3),(0,-1),(-1,-3)} be a linear function from Z into Z....

    Text Solution

    |

  12. Find the domain of the function f(x)=(x^2+3x+5)/(x^2-5x+4)

    Text Solution

    |

  13. The function f is defined by f(x)={(2-x,,x,<,0),(2,,x,=,0),(2+x,,x,>...

    Text Solution

    |

  14. The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x l...

    Text Solution

    |

  15. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

    Text Solution

    |

  16. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

    Text Solution

    |

  17. Find the domain and range of the following functions. f(x)=sqrt(x-...

    Text Solution

    |

  18. Find the domain and range of the following functions. f(x)=abs[x-1]

    Text Solution

    |

  19. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

    Text Solution

    |

  20. Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2...

    Text Solution

    |