Question

find f(g(x)) and g(f(x)) andetermine whether the pair of functions f and g are inverses of each other
f(x)=2x and g(x)=x/2

Answer 1

f[g(x)]=f[x/2]=2(x/2)=x
and
g[f(x)]=g[2x]=(2x)/2=x
Thus f and g are inverse functions