Let $f(x) = x^{2}$ and $g(x) = 2^{x}$, for all real x. Then the value of f[f(g(x)) + g(f(x))] at x = 1 is
$f[f(g(1)) + g(f(1))]$ = $f[f(2^1) + g(1^2)]$= $f[f(2) + g(1)]$= $f[2^2 + 2^1]$= $f(6)$= $6^2 = 36$
