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  • Help me understand! - Sets, Relations and Functions - JEE Main-3

If f(x) = x +3  then which of the following g(x) satisfies gof(x) = I ?

  • Option 1)

    g(x) = x+ 3

  • Option 2)

    g(x) = x

  • Option 3)

    g(x) = x -3

  • Option 4)

    g(x) = x + 2

 

Answers (1)

best_answer

As we have learnt,

 

Property of Composite Function -

The composition of any function with the identity function is the function itself.

If f: A\rightarrow B, then foI_{A}=I_{B}of=f

-

 

 

g(f(x)) = g(x - 3) = x +3 - 3 = x

 

 


Option 1)

g(x) = x+ 3

Option 2)

g(x) = x

Option 3)

g(x) = x -3

Option 4)

g(x) = x + 2

Posted by

Himanshu

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