Home
Class 12
MATHS
If f and g are two functions defined by ...

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`

Text Solution

AI Generated Solution

To find the function \( \frac{f}{g} \) where \( f(x) = \sqrt{x + 1} \) and \( g(x) = \frac{1}{x} \), we will follow these steps: ### Step 1: Write the expression for \( \frac{f}{g} \) We start by substituting the definitions of \( f(x) \) and \( g(x) \) into the expression \( \frac{f}{g} \). \[ \frac{f}{g} = \frac{f(x)}{g(x)} = \frac{\sqrt{x + 1}}{\frac{1}{x}} ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION OR DERIVATIVE OF A FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|223 Videos
  • INTEGRATION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|48 Videos

Similar Questions

Explore conceptually related problems

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

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: 2f-3g

If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x then find the following functions: 2f^2+sqrt2 g

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

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\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f/g

Let f\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f+g

Let f\ a n d\ g\ be real functions define by f(x)=x+2 and g(x)=4-x^2dot Then, find each of the following function: f-g

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 .

Let f,\ g be two real functions defined by f(x)=sqrt(x+1\ )a n d\ g(x)=sqrt(9-x^2)dot Then describe each of the following function: f+g

MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Which of the following functions are even and which odd? f(x)=x^3+x

    Text Solution

    |

  2. which of the following functions are even and which odd? f(x)=x^3+x

    Text Solution

    |

  3. if f(x)=1/(1-x) then find f((x-1)/x)

    Text Solution

    |

  4. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  5. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  6. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  7. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  8. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  9. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

    Text Solution

    |

  10. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

    Text Solution

    |

  11. Draw the graph of the following functions and hence find the range of ...

    Text Solution

    |

  12. Draw the graph of the following functions and hence find its ranges f(...

    Text Solution

    |

  13. Draw the graph of the following functions and hence find its ranges : ...

    Text Solution

    |

  14. Draw the graph of the following functions and hence find its ranges: f...

    Text Solution

    |

  15. Check the injectivity and surjectivity of the following functions f:Zr...

    Text Solution

    |

  16. Check the injectivity and surjectivity of the following functions f:R ...

    Text Solution

    |

  17. Check the injectivity and surjectivity of the following functions f:R-...

    Text Solution

    |

  18. Check the injectivity and surjectivity of the following functions f:Rr...

    Text Solution

    |

  19. If f:R-{2/3}rarr R defined by f(x)=(4x+3)/(6x-4) show that f(f(x))=x

    Text Solution

    |

  20. Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one...

    Text Solution

    |