Font Awesome Search Button in Input Field

HTML

<link rel="stylesheet" href="//maxcdn.bootstrapcdn.com/font-awesome/4.2.0/css/font-awesome.min.css">
<input id="filter" type="text" placeholder="Search" />
<i id="filtersubmit" class="fa fa-search"></i>

CSS

#filtersubmit {
    position: relative;
    z-index: 1;
    left: -25px;
    top: 1px;
    color: #7B7B7B;
    cursor:pointer;
    width: 0;
}

JavaScript

$('#filtersubmit').click(function() { 
    alert('Searching for '+$('#filter').val());
});