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  • Help me understand! - Sets, Relations and Functions - JEE Main-5

Which function is equal to the function f(x)=ln\: x\; ?

  • Option 1)

    g(x)=\left | ln\: x \right |

     

     

     

  • Option 2)

    g(x)=\left | ln\: \left | x \right | \right |

     

  • Option 3)

    g(x)=ln\left | x \right |

     

  • Option 4)

    none of these.

 

Answers (1)

best_answer

As we learned 

 

Equality of function -

The two function f and g are said to be equal

iff :     dom (f) = dom (g)

and     Co-dom (f) =Co - dom (g)      

and    f(x) = g (x)         x \in Domain

-

 

 Let's look at the graphs bof these functions

 

 

none of the functions are identical. 

 


Option 1)

g(x)=\left | ln\: x \right |

 

 

 

Option 2)

g(x)=\left | ln\: \left | x \right | \right |

 

Option 3)

g(x)=ln\left | x \right |

 

Option 4)

none of these.

Posted by

Himanshu

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