The correct answer is (C).
The provided function is f( x )= ( 3− x 3 ) 1 3 under the domain f:R→R .
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.
If f:R→R be given by f(x)=(3−x3)13, then fof (x)is (a)x13(b)x3 (c)x (d)3−x3
If f: R → R be given by, then fof(x) is
(A) (B) x3 (C) x (D) (3 − x3)