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  • I need help with - Sets, Relations and Functions - JEE Main-10

What is the inverse of x^5 ?

  • Option 1)

    \sqrt x

  • Option 2)

    x^{\frac{1}{5}}

  • Option 3)

    x^5

  • Option 4)

    x

 

Answers (1)

best_answer

As we have learnt,

 

Property of Inverse Function -

The inverse of a bijection is unique.

-

 

 Since (x^5)^{\frac{1}{5}} = x, inverse of x^5 is x^{\frac{1}{5}} 

 


Option 1)

\sqrt x

Option 2)

x^{\frac{1}{5}}

Option 3)

x^5

Option 4)

x

Posted by

Himanshu

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