morphism is epic?

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If we have three morphisms f, g and h between objects of a category. Suppose gf = h. If g and h are epic, can we conclude that so is f ? Any help would be appreciated!

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Hint:

In category set let the domain and codomain of $h=g\circ f$ be a singleton.

Further let the codomain of $f$ have more than one element.

What can be said about being epic of $f,g,h$?