The documentation is sparse below is a simple working example of a Invisible reCAPTCHA client server setup using client side JavaScript and a NodeJS server.
This example is setup as a very simple voting API endpoint where you POST your email along with your reCAPTCHA response. The API will return a different message along with the submitted email depending on wether you passed the reCAPTCHA challenge or not.
<html>
<head>
<script src="https://www.google.com/recaptcha/api.js"></script>