Prove that f (x) = 2x+4 and g (x) = (x-4) / 2 are inverses of each other. Show your work.

Hello,

As f (x) is a bijection, f^ (-1) (x) is also a function.

if gof (x) = x then g^ (-1) * gof (x) = g^ (1) (x) = = >f (x) = g^ (-1) (x) f is the inverse of g

g (f (x)) = g (2x+4) = ((2x+4) - 4) / 2=2x/2=x.