YES

TRS:

  f(g(X)) -> f(X)

max/plus interpretations on N:

  f_A(x1) = max{4, 2 + x1}
  f#_A(x1) = max{4, 2 + x1}
  g_A(x1) = max{4, 3 + x1}
  g#_A(x1) = max{4, 3 + x1}

precedence:

  f = g