Need help with functions

Question

Check by composition if inverses of each other

f(x) = x+1

g(x)=x+1

Answer 1

f(g(x))=x+2, i.e. f and g are NOT inverses.

The inverse of f(x)=x+1 is x-1.

Another technique is to graph f(x) and show that it is not symmetric about y=x.