Home
Class 11
MATHS
If f(x)= sqrtx and g(x)= x be two functi...

If `f(x)= sqrtx and g(x)= x` be two functions defined in the domain `R^(+) uu {0}`, then find the value of `(f+g) (x)`.

Text Solution

Verified by Experts

The correct Answer is:
`sqrtx + x`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective Type Questions)|12 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|2 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|34 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

Similar Questions

Explore conceptually related problems

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), (fg) (x) and (f/g) (x) .

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find fg

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f+g

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find f-g

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

If f : R rarr R and g : R rarr R be two mapping such that f(x) = sin x and g(x) = x^(2) , then find the values of (fog) ((sqrt(pi))/(2)) and (gof)((pi)/(3)) .

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find (f)/(g) .

The function f(x) is defined in [0,1] . Find the domain of f(t a nx)dot

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x + 5 . Then, find each of the following f(1)-f(-2)

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Solutions of NCERT Exemplar Problems (Long Answer Type Questions)
  1. Is g= {(1, 1), (2,3), (3,5), (4,7)} a function, justify. If this is de...

    Text Solution

    |

  2. Find the domain of each of the following functions given by f(x)= (1...

    Text Solution

    |

  3. Find the domain of the following functions. f(x)= (1)/(sqrt(x + |x|...

    Text Solution

    |

  4. Find the domain of each of the following functions given by f(x)= x|...

    Text Solution

    |

  5. Find the domain of each of the following functions given by f(x)= (x...

    Text Solution

    |

  6. Find the domain of each of the following functions given by f(x)= (3...

    Text Solution

    |

  7. Find the range of the following functions given by f(x)= (3)/(2-x^(2...

    Text Solution

    |

  8. Find the range of the following function f(x)=1- |x-2|, x in R

    Text Solution

    |

  9. Find the range of the following functions given by f(x)= |x-3|

    Text Solution

    |

  10. Find the range of the following functions given by f(x)= 1 + 3 cos 2...

    Text Solution

    |

  11. Redefine the function f(x)= |x-2| + |2 + x|, -3 le x le 3

    Text Solution

    |

  12. If f(x)= (x-1)/(x+1), Then show that f((1)/(x))= -f(x)

    Text Solution

    |

  13. If f(x)= (x-1)/(x+1), Then show that f(-(1)/(x))= (-1)/(f(x))

    Text Solution

    |

  14. If f(x)= sqrtx and g(x)= x be two functions defined in the domain R^(+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the domain and range of the following function f(x)= (1)/(sqrt(...

    Text Solution

    |

  19. If f(x)= y = (ax-b)/(cx-a), then prove that f(y) = x

    Text Solution

    |