For each pair of functionsfandgbelow, findf(g(x))andg(f(x)).

Then, determine whetherfandgare inverses of each other.Simplify your answers as much as possible.

(Assume that your expressions are defined for allxin the domain of the composition.

You donothave to indicate the domain.)

(a)

f(x)=x+4

g(x)=x-4

f(g(x))=

g(f(x))=

are they inverses of each other?

(b)

f(x)=6/x, x0

g(x)=-6/x,x0

f(g(x))=

g(f(x))=

are they inverses of each other?