I have registered an account on recaptcha.net with mydomain.com.
While I’m developing on my localhost it works fine, but whenever I try to open the page from another machine in my local network it shows "input error: invalid referer" error message!
I’m not using recaptcha plugins.
reCaptcha keys are tied to a certain domain + localhost (when you got your private/public keys from them). You can use it on another domain by requesting new private/public keys or by using a global key.
From their website: