Analysis and Approaches HL Practice Paper Book | Page 142

7 . The function f is defined as restricted such that

1 f ^� exists .

f ( x) 2 ( 1 )

2 � � x � , 5 5

� � x � . The domain of f is

( a ) State the largest possible domain of f .

( b ) Find the expression of

1 f ^� .

( c ) The function g is defined such that expression of gx ( ).

1 1

( g ^� � f )( x)

� x 3

. Find the

[ 2 ]

[ 3 ]