You can only add a view to a view group, not a view, so lets image your View v is a RelativeLayout:
public class FocusGame extends Activity {
FocusGameView fgv;
RelativeLayout v;
@Override
protected void onCreate(Bundle savedInstanceState) {
super.onCreate(savedInstanceState);
setContentView(R.layout.activity_focus_game);
v=(View)findViewById(R.id.frame_focus_game);
fgv= new FocusGameView(this);
v.addView(fgv); //You only need to add the view to a parent to make it appear
}