Add an image before the site title with Genesis

functions.php

<?php
// Paste the code BELOW this line into your child theme functions.

/**
 * Add an image before the site title with Genesis
 *
 * @author Reasons to Use Genesis
 * @link http://reasonstousegenesis.com/site-title/
 */
add_action( 'genesis_site_title', 'rtug_title_image' );
function rtug_title_image() {
	echo '<img src="http://example.com/wp-content/themes/yourtheme/images/title.png">'; // replace with your image URL
}