For each pair of functions f and g below find f(g(x)) and g(f(x))

Then determine whether f and g are inverses of each other.

Simplify your answers as much as possible .

(assume that your expressions are defined for all x in the domain of the composition.

You do not have to indicate the domain)

a. f(x)=x-6

g(x)=x+6

f(g(x))=______

g(f(x))=______

b. f(x)= -1/2x, x0

g(x)=1/2x, x0

f(g(x))=______

g(f(x))=_______