In his early days in Vaudeville (before the First World War), Groucho wore a false moustache. He soon grew tired of tearing a strip of sticking plaster off the same patch of skin every night, and took to painting a moustache on with greasepaint. He then found that his eyebrows didn't match the moustache, and took to enhancing them with greasepaint also. This (with the fake glasses, which he didn't need at that time) was the look that became familiar in the Marx Brothers' classic films, starting with The Cocoanuts in 1929. (An earlier effort from 1921, Humor Risk, was never released and is now lost.)
In 1947, as the Marx Brothers' Hollywood career drew to a close, Groucho was persuaded to host the comedy radio game show You Bet Your Life. When this transferred to television in 1950, or so the story goes, he was asked to apply the greasepaint moustache. He refused, but instead grew a real one, which he continued to wear for the rest of his life. By this time he was also wearing real glasses.
He wore the real moustache and glasses in Love Happy – the last proper Marx Brothers film, which was released in 1949. (There is an obvious continuity error in the suggestion that he grew the moustache in 1950 for You Bet Your Life.)
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