Answer:
see explanation
Step-by-step explanation:
If f(x) and g(x) are inverses then
f(g(x)) = g(f(x)) = x
f(g(x)) = f([tex]\frac{x}{2}[/tex]) = 2 × [tex]\frac{x}{2}[/tex] = x
g(f(x)) = g(2x) = [tex]\frac{2x}{2}[/tex] = x
Hence
f(x) and g(x) are inverse functions
