Home
Class 12
MATHS
If two real functions f(x) and phi(x) ar...

If two real functions `f(x) and phi(x)` are defined respectively by `f(x)= sqrt(x-2) and phi(x)=x+3`, then find each of the following functions :
`(f)/(phi)`

Text Solution

Verified by Experts

The correct Answer is:
`(f)/(phi)(x)=sqrt(x-2)/(x+3)"for all "x in [2,oo)`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : fphi

If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : (1)/(phi)

If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : (1)/(f)

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : (f)/(g)

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : f+g

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : f-g

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : ff

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : gg

Two real function f and g are defined respectively by f(x) = sqrt(x-3) and g(x)=sqrt(x^2-9). Find each of the following functions : fg

Two real valued functions f and g are defined respectively by f(x)=log_e(1-x) and g(x)=[x], find the following functions : (f)/(g)

CHHAYA PUBLICATION-RELATION AND MAPPING -Long Answer Type Questions
  1. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  2. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  3. If two real functions f(x) and phi(x) are defined respectively by f(x)...

    Text Solution

    |

  4. Find the domain of definition of the function defined by, f(x)=(1)/(l...

    Text Solution

    |

  5. Find the domain of definition of each of the following functions : f...

    Text Solution

    |

  6. Find the domain of definition of each of the following functions : g...

    Text Solution

    |

  7. Find the domain of definition of each of the following functions : h...

    Text Solution

    |

  8. Find the domain of definition of each of the following functions : p...

    Text Solution

    |

  9. Find the range of each of the following functions : f(x)=2-|x-2|

    Text Solution

    |

  10. Find the range of each of the following functions : g(x)=(1)/sqrt(x+...

    Text Solution

    |

  11. Find the range of each of the following functions : h(x)=(|x-3|)/(x-...

    Text Solution

    |

  12. Draw the graphs of the constant functions : f(x)+2 = 0

    Text Solution

    |

  13. Draw the graphs of the constant functions : f(x) = 0

    Text Solution

    |

  14. Draw the graphs of the constant functions : f(x) - 3 = 0 From the ...

    Text Solution

    |

  15. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |

  16. Sketch the graph of f(x)=|x| . From the graph find the domain and rang...

    Text Solution

    |

  17. A function f(x) is defined as follows : f(x)=x," when "x gt0 =-x,"...

    Text Solution

    |

  18. Sketch the graph of f(x)=(|x|)/(x), f(0)=1. From the graph examine the...

    Text Solution

    |

  19. Draw the graph of the function (x^2-4)/(x+2) and from the graph examin...

    Text Solution

    |

  20. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |