y=3-2^|x|,
2^|x|=3-y,
log_2 2^|x|=log_2 (3-y),
|x|=log_2 (3-y),
|x|>0,
{3-y>0,
{log_2 (3-y)>=0,
{-y>-3,
{3-y>=1,
{y<3,
{y<=2;
Ey=(-∞;2];
y=3-2^|x|,
2^|x|=3-y,
log_2 2^|x|=log_2 (3-y),
|x|=log_2 (3-y),
|x|>0,
{3-y>0,
{log_2 (3-y)>=0,
{-y>-3,
{3-y>=1,
{y<3,
{y<=2;
Ey=(-∞;2];