captcha not displaying on Contact Form 7

Hi andrewemorgan,
There can be multiple reasons for captcha not being rendered:

1. Domain name not registered properly at Recaptcha Admin
2. Site Key not entered properly in your No Captcha reCaptcha settings page
   

   Settings > Google No Captcha reCaptcha.

   Display of recaptcha is dependent on site key.

3. Footer file of theme not implemented properly: Javascript file that makes call to the google for rendering recaptcha are enqueued at the footer.
4. JavaScript conflict (theme conflict or plugin conflict)
5. Bug in the plugin

If you have resisted domain name properly and have entered proper site key on your sites settings page, please provide us with more details of your theme being used.
Also, try our older version v2.0 on the same theme and let us know if that works fine for you.

Thank You.

@andrewemorgan
I also had a bit of trouble getting the captcha to render. I did finally get it working (WordPress 4.3, Contact Form 7 4.2.2) by manually pasting some html code after the short code. This extra code which contains the Site Key is provided by Google when you register:
<div class="g-recaptcha" data-sitekey="xxxxxxxxxxxxxxxxxxxx"></div>

I have this same issue. I have no script errors on the page.

Everything is set up correctly and I have tested both codes but still see nothing.

<p>Your Name (required)<br />
    [text* your-name] </p>

<p>Your Email (required)<br />
    [email* your-email] </p>

<p>Subject<br />
    [text your-subject] </p>

<p>Your Message<br />
    [textarea your-message] </p>

[recaptcha recaptcha-271]

<div class="g-recaptcha" data-sitekey="code"></div>

<p>[submit "Send"]</p>

It is very frustraiting