Answer:
see explanation
Step-by-step explanation:
If f(x) and g(x) are the inverses of each other, then
f(g(x)) = g(f(x)) = x
f(g(x)) = f(x - [tex]\frac{1}{2}[/tex]) = x - [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = x
g(f(x)) = g(x + [tex]\frac{1}{2}[/tex]) = x + [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{2}[/tex] = x
Hence f(x) and g(x) are the inverse of each other
