JSFiddle - React, Tailwind, and code Playground

HTML

<div id="last-row">
    <input name="multifield" placeholder="Value">
</div>

CSS

a, a:hover {
    cursor: pointer;
}

JavaScript

var lastRow = $('#last-row');
var lastInput = $(lastRow.selector + ' input');

function addRow() {
    var newInput = $('<input name="multifield" placeholder="Value"></input>');
    var newRow = $('<div></div>');
    newRow.append(newInput);
    var newDelete = $('<a class="row-delete"><img src="http://i.imgur.com/ZSoHl.png" /></a>');
    newRow.append(newDelete);
    lastInput.before(newRow);
    newInput.focus();

    newDelete.click(function() {
        newRow.remove();
    });
}