I was started shooting on .22's and high powered rifles at 4 or 5, you just teach the kid a TON about safety and when you trust them you allow them to shoot targets. for high powered you brace yourself behind her to absorb the kick... I was duck/goose hunting with my dad since i could walk, and deer hunting shortly after, so its all up to you.

and in response to some of the posts, there is a difference between taking a child hunting, and taking the child where they are the shooter.

Oh and I was only allowed to shoot game animals(not rodents) after i passed hunter safety at 10