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Question

If f : R → R be given by , then f o f ( x ) is (A) (B) x 3 (C) x (D) (3 − x 3 )

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Solution

The correct answer is (C).

The provided function is f( x )= ( 3 x 3 ) 1 3 under the domain f:RR .

fof( x )=f( f( x ) ) =f( ( 3 x 3 ) 1 3 ) = [ 3 ( ( 3 x 3 ) 1 3 ) 3 ] 1 3 = [ 3( 3 x 3 ) ] 1 3 = ( x 3 ) 1 3 =x

Hence, the option (C) is the correct option.


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