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Can someone pls solve this Let fBA and gCB be functions. Prove or .pdf

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If f:BA is an injection, then it is one-to-one and for every element a in A, there is a unique element b in B such that f(a)=b. If f is injective, then the composition fg:CA would also be injective, as for every element a in A, there is a unique element c in C such that fg(a)=c.

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Can someone pls solve this Let f:BA and g:CB be functions. Prove or disprove: If f:BA is an injection, then fg:CA is also an injection.

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