Write two functions, f and g, such that ( f o g) (x) =-1/x+1 and such that neither function is identical to (f o g) (x) or x

Question

Write two functions f and g, such that (f o g) (x) = - 1/x+1 and such that neither function is identical to (f o g ) (x) or x

f(x) =

g(x)=

Answer 1

Do you have (-1/x) + 1, or -1 / (x + 1)?

In the first case, g = (-1/x) and f = x + 1;

in the second case, it is the opposite :)