Could someone please check my work?

Define f: 1 - R by f ( x ) = * 2 Find f"( T) for each of The following. ( a) T= [93 f -' ( T ) = f -' ( 9 ) = ExER : f( x ) = 9 3 = [-3, 35 ( b) T = [ 4,9 ) f-' ( T ) = f - ( [ 4 , 9 ) ) = ExER : f( x ) = [ 4, 9 )3 = (- 3,-2 ] u [2, 3) ( C ) T = [- 4, 9] f-" (T ) = f -' ( E - 4 . 9 ] ) = ExErR : f ( x) = [- 4, 9] 3 =[3, 3]