Images aren't Displayed when using AJAX

I’m displaying some blog posts and when I click on a link I’m trying to bring in other blog categories using AJAX. This all works great and this is the code I have to do that:

$.ajax({
url: ajaxurl,
type: "POST",
async: true,
cache: true,
data: {
action: 'show_blog',
term_id: term_id
},
success: function(data) {
//we have the data now
$('.blog-wrapper').fadeOut(1000, function() {
//this is a callback once the element has finished hiding
//populate the div with whatever was returned from the ajax call
$('.blog-wrapper').html(data);
//fade in with new content
$(".blog-wrapper").fadeIn(1000);
});
}
});

This is my function to call the shortcode:

function show_blog() {
    global $wpdb; // this is how you get access to the database
    $content = '[blog_zip number_posts="3" cat_slug="29" title="yes" thumbnail="yes" excerpt="yes" excerpt_words="25" meta_all="yes" meta_author="yes" meta_categories="yes" meta_comments="yes" meta_date="yes" meta_link="yes" paging="yes" scrolling="infinite" strip_html="no" layout="medium alternate" zip_code="60601,60605,60602"][/blog_zip]';
    $content = apply_filters('the_content', $content);
    echo $content;
}

This brings back the blog post text correctly but it doesn’t display any images. Is there something else I need to do to get the images to be displayed correctly?