If two functions f(x) and g(x) are inverses of each other, then f(g(x)) = x and g(f(x)) = x.
So, we have:
[tex]\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=x=g\mleft(f\mleft(x\mright)\mright) \\ f\mleft(g\mleft(x\mright)\mright)=g\left(f\mleft(x\mright)\right)=x \end{gathered}[/tex]Answer[tex]f\mleft(g\mleft(x\mright)\mright)=g\left(f\mleft(x\mright)\right)=x[/tex]