Home
Class 11
MATHS
Find the domain and the range of the rea...

Find the domain and the range of the real function, `f(x)=(1)/(x+3)`.

Text Solution

AI Generated Solution

To find the domain and range of the function \( f(x) = \frac{1}{x + 3} \), we will follow these steps: ### Step 1: Determine the Domain The domain of a function consists of all the possible input values (x-values) that will not make the function undefined. 1. The function \( f(x) = \frac{1}{x + 3} \) is undefined when the denominator is zero. 2. Set the denominator equal to zero: \[ ...
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RS AGGARWAL|Exercise SOLVED EXAMPLES|20 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3A|20 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS|21 Videos
  • ELLIPSE

    RS AGGARWAL|Exercise EXERCISE|26 Videos
  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12H (Very Short Answer Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the domain and the range of the real function, f(x)=(3-x)/(x-3) .

Find the domain and the range of the real function, f(x)=(x^(2)+1)/(x^(2)-1) .

Find the domain and the range of the real function, f(x)=(x-3)/(x-5) .

Find the domain and the range of the real function, f(x)=(1)/(sqrt(x+|x|)) .

Find the domain and the range of the real function, f(x)=(1)/(sqrt(x+[x])) .

Find the domain and the range of the real function, f(x)=(1)/sqrt(x-2)

Find the domain and the range of the real function, f(x)=(|x-3|)/((x-3)) .

Find the domain and the range of the real function, f(x)=(3)/((2-x^(2))) .

Find the domain and the range of the function, f(x)=(x-2)/(x-3) .

Find the domain and range of the real function f(x) = x/(1-x^2)

RS AGGARWAL-FUNCTIONS-PROBLEMS BASED ON DOMANIS AND RANGES OF REAL FUNCTIONS SOLVED EXAMPLES
  1. Find the domain and the range of the real function, f(x)=(1)/(x+3).

    Text Solution

    |

  2. Find the domain and the range of the real function, f(x)=(x-3)/(x-5).

    Text Solution

    |

  3. Find the domain and the range of the real function, f(x)=(x^(2)+1)/(x^...

    Text Solution

    |

  4. Find the domain of the real-valued function: f(x)=(x^(2)-x+1)/(x^(2)...

    Text Solution

    |

  5. Find the domain of each of the following real fuctions: (i) f(x)=sqr...

    Text Solution

    |

  6. Find the domain of the function, f(x)=sqrt(3-x)+(1)/(sqrt(x^(2)-1)).

    Text Solution

    |

  7. Find the rage of each of the following functions. (i) f(x)" "=" "2" "...

    Text Solution

    |

  8. Find the domain and the range of the function, f(x)=(x-2)/(x-3).

    Text Solution

    |

  9. Find the domain and range of each of the following real valued func...

    Text Solution

    |

  10. Find the domain and the range of each of the functions given below. ...

    Text Solution

    |

  11. Find the domain and the range of the real function, f(x)=(1)/sqrt(x-2)

    Text Solution

    |

  12. Find the domain and range of the following real functions:(i) f(x)=-|x...

    Text Solution

    |

  13. Find the domain and range of the function f(x) = x/(1+x^2)

    Text Solution

    |

  14. Find the domain and the range of the real function, f(x)=(3)/((2-x^(2)...

    Text Solution

    |

  15. Let f ={(x ,(x^2)/(1+x^2)):x in R}be a function from R into R. Determi...

    Text Solution

    |

  16. Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...

    Text Solution

    |

  17. Find the domain and the range of the function, f(x)=(x^(2)-25)/(x-5).

    Text Solution

    |

  18. Find the domain and the range of the real function, f(x)=(3-x)/(x-3).

    Text Solution

    |

  19. Find the domain and the range of the real function, f(x)=(|x-3|)/((x-3...

    Text Solution

    |

  20. Find the domain and the range of the real function, f(x)=(1)/(sqrt(x+|...

    Text Solution

    |