Question

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

Answer 1

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.