JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="http://netdna.bootstrapcdn.com/font-awesome/4.0.3/css/font-awesome.css">
<span class='search'><input type="text" class="inputtext" style="margin: 2px;" placeholder="Search" /></span>

CSS

input{
    z-index:0;
    position:relative;
}
.search{
    display:inline-block;  
    position:relative;
}
.search:after{
    display:inline-block;
    position:absolute;
    right:5px;
    top:5px;
    color:grey;
    font-family:fontAwesome;
    content:'\f002';
}
input:focus{
    z-index:99;
}