YES

TRS:

  f(f(x)) -> g(f(x))

max/plus interpretations on N:

  f_A(x1) = max{3, 4}
  f#_A(x1) = max{0, -1 + x1}
  g_A(x1) = max{4, -1 + x1}
  g#_A(x1) = max{1, -6 + x1}

precedence:

  f > g