Inappropriate photos

Facebook has nothing to do with what you click when you leave their site.

Want to improve your experience? Don't click on the links that people share unless you know the site, and tell the people who shared that stuff with you that you don't want to see it. If they persist, unfollow them or even unfriend or block them if it gets really bad.

But Facebook is not responsible if you, a person aged 13 or older (Facebook's minimum required age, per their Terms of Service) are foolish enough to click on a weird-looking or suspicious link, and they certainly aren't at fault for how you react.

If using Firefox, can right-click on an image and choose to block all images from that URL. Or if especially sensitive, can disable all images and only enable spoecific ones as you need to.

You might also do some anti-virus and anti-malware scans on your device. You could have some nefarious malware that is redirecting you to these offensive images.

Some firewall/anti-virus/internet security software has the capability of setting up filters to help eliminate the viewing of such images and websites, look into that also.