Home
Class 11
MATHS
Let f and g be two functions defined by:...

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 (ii) g + f (iii) f-g (iv) g-f (v) fg (vi) gf (vii) `(f)/(g)` (viii) `(g)/(f)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(b)|14 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Frequently Asked Questions|17 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let f and g be real functions, defined by f(x)=sqrt(x+2)andg(x)=sqrt(4-x^(2)) . Find (i) (f+g)(x) (ii) (f-g)(x) (iii)(fg)(x) (iv) (ff)(x) (v) (gg)(x) (vi) ((f)/(g))(x) .

Let f and g be real functions, defined by f(x)=sqrt(x-1)andg(x)=sqrt(x+1) . Find (i) (f+g)(x) (ii) (f-g)(x) (iii) (fg)(x) (iv) ((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 (i) f+g (ii) f-g (iii) fg (iv) (f)/(g)

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: fg

Let f and g be two real values functions defined by f(x)=x+1 and g(x)=2x-3 Find 1)f+g,2 ) f-g,3 ) (f)/(g)

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f+g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f-g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: f/g

If f and g are functions defined by : f(x) =sqrt(x - 1), g(x) = (1)/(x) , then describe the following : (i) f + g (ii) f - g (iii) fg (iv) (f)/(g) .

Let f and g be real functions, defined by f(x)=(1)/((x+4))andg(x)=(x+4)^(3) . Find (i) (f+g)(x) (ii) (f-g)(x) (iii) (fg)(x) (iv) ((f)/(g))(x) (v) ((1)/(f))(x)

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

    Text Solution

    |

  2. Which of the following functions are odd or even or neither: (i) f(x...

    Text Solution

    |

  3. The period of x-[x] where [x] represents the integral part of x is

    Text Solution

    |

  4. Solve: [2x-3]=5

    Text Solution

    |

  5. Let f and g be two functions defined by: f(x) = sqrt(x-1) and g(x) = s...

    Text Solution

    |

  6. The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greates...

    Text Solution

    |

  7. Define the function f : R -> R by y = f(x) = x^2 , x in R . ...

    Text Solution

    |

  8. Draw the graph of the function: f: R rarr R defined by f(x) = x^(3), x...

    Text Solution

    |

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

    Text Solution

    |

  10. फलन f, f(x) = {(1-x"," x lt 0),(1","x = 0),(x +1"," x gt 0):} द्वारा प...

    Text Solution

    |

  11. Draw the graph of the function: 1-x

    Text Solution

    |

  12. Draw the graph of the function: f(x) = {(x," if " x le 0),(x^(2)," if ...

    Text Solution

    |

  13. Draw the graph of the function: f(x) = |1-x| + |1+x|, -2 le x le 2

    Text Solution

    |

  14. If A= {2,4,6,9} and B= {4,6,18, 27, 54}, a in A, b in B, find the set ...

    Text Solution

    |

  15. Find the domain and range of the function f given by f(x) = x^2/(1...

    Text Solution

    |

  16. Is the following relation a function ? Justify your answer: (i) R(1)...

    Text Solution

    |

  17. For which Domain, the functions f(x) = 2x^2-1 and g(x)=1-3x are equal ...

    Text Solution

    |

  18. Find the domain of the function: f(x) = [x] +x

    Text Solution

    |

  19. Find the range of the function: f(x) = (|x-4|)/(x-4)

    Text Solution

    |

  20. Find the domain of the function f given by f(x)=1/(sqrt([x]^2-[x]-6))

    Text Solution

    |