Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x)= 4/x and g(x)= 4/x

If someone could please explain that'd be great :)

Answer 1

f (g(x) ), let x=g(x)

f(4/x) = (4/x)
f(4/x) = 4/(4/x) = x

Answer 2

@larryboxaplenty So then the next part would be g(f(x)), let x=f(x)

g(4/x) = (4/x)
g(4/x)= 4/(4/x)=x
I understand the math I just don't know exactly what the question is asking and why am I solving the equation like this.