Examples:
* Long-term investment
* High-speed internet
* State-of-the-art technology
* World-renowned artist
Rules for Compound Modifiers:
* Hyphenate compound modifiers when they precede the noun they modify:
* *long-term* investment
* *high-speed* internet
* Do not hyphenate compound modifiers when they follow the noun they modify:
* The investment is *long term*.
* The internet connection is *high speed*.
* If the first word is an adverb ending in -ly, do not hyphenate:
* *newly* acquired skills
Note: There are some exceptions to these rules, so it's always a good idea to check a dictionary or style guide if you're unsure.