If I understand you correctly, you only want to display safetyText once safetyBG has fully loaded. To achieve that, hide safetyText, then check on document.onload if safetyBG has loaded. If so, show text, if not, attach function to show text to safetyBG.onload:
function showSafetyText() {
//show text
}
window.onload = function() {
var safetyBG = document.getElementById("safetyBG"); // tweak as necessary
//have to check to see if img loaded, if you would simply assign showSafetyText
//to img.onload, it would never run if the img was fully loaded already
if (!safetyBG.complete) {
safetyBG.onload = showSafetyText;
} else {
showSafetyText();
}
}
You mentioned images (rather than a single image) in your post. If that's the case you'll want to write a function that loops through the images to check to see if they've all loaded (at which time you can load the text); then attach this function to each of the images' onload events (unless all images are loaded already in which case you can simply show the text).