11.Answer the following questions: a)Iff(x)is invertible,is f(x)+a invertible,where ais any constant? b)If f(x)and g(x)are invertible,is f(x)+g(x)invertible? c)Are the following functions defined in tables even or odd functions? x-101 x-10.51 x-101 )121 gx)202 h)30-3 d)If f(g(x))=g(f(x))=x what the relationship of f(x)and g(x)? e)ffg(x》=gfx》=fx),what is g(x)? f)Is f(g(x))=g(f(x))correct? g)If f(x).g(x)are invertible,is f(g(x))=gf(x))correct? h)If f(2)=3.g(3)=2,is f(g(3))=g(f(3))correct? i)If f(2)=3,g(3)=2,are f(g(3))=3,g(f(2))=2 correct? )Function is defined.is the domain of this function is -1,x<0 (-,+0)2 k)Does the range of above function equal to [-1,+1]? (is defined.Is the domain of this function is 1)Function f(x)h(x). (-0,+o)2 m)Does the domain of above function equal to DDwhere D,denotes the domain of f(x)? n)Does the range of above function equal toR,where R denotes the range of f(x)?11. Answer the following questions: a) If f x( ) is invertible，is f x a ( )  invertible, where a is any constant? b) If f x( ) and g x( ) are invertible，is f x g x ( ) ( )  invertible? c) Are the following functions defined in tables even or odd functions? d) If f g x g f x x ( ( )) ( ( ))   what the relationship of f x( ) and g x( ) ? e) If f g x g f x f x ( ( )) ( ( )) ( )   , what is g x( ) ? f) Is f g x g f x ( ( )) ( ( ))  correct? g) If f x g x ( ), ( ) are invertible, is 1 1 f g x g f x ( ( )) ( ( ))    correct? h) If f g (2) 3, (3) 2   , is f g g f ( (3)) ( (3))  correct? i) If f g (2) 3, (3) 2   , are f g g f ( (3)) 3, ( (2)) 2   correct? j) Function 1, 0, ( ) 1, 0 x f x x       is defined. Is the domain of this function is ( , )?   k) Does the range of above function equal to [-1,+1]? l) Function ( ), 0, ( ) ( ), 0 g x x f x h x x       is defined. Is the domain of this function is ( , )?   m) Does the domain of above function equal to D D g h  ,where Df denotes the domain of f x( ) ? n) Does the range of above function equal to R R g h  ,where Rf denotes the range of f x( ) ? x -1 0 1 f(x) 1 2 1 x -1 0.5 1 g(x) 2 0 2 x -1 0 1 h(x) 3 0 -3