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  • Need explanation for: - Sets, Relations and Functions - JEE Main-8

The inverse of the function y = \sqrt{x -2}

  • Option 1)

    x^2 + 1

  • Option 2)

    x^2 + 2

  • Option 3)

    x^2 + 3

  • Option 4)

    x^2 -2

 

Answers (1)

best_answer

As we have learnt,

 

Property of Inverse Function -

The inverse of a bijection is unique.

-

 

 g(x) = \sqrt{x -2} \Rightarrow g^2(x) = x - 2 \Rightarrow x = g^2(x) + 2 \Rightarrow y = x^2 + 1 is the inverse.

 


Option 1)

x^2 + 1

Option 2)

x^2 + 2

Option 3)

x^2 + 3

Option 4)

x^2 -2

Posted by

Himanshu

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