Challenge Problem. Suppose f : D → C and g : C → D are functions such that gof = 1p, the identity function on D. (I.e., for all x E D, (g o f)(x) = x.) Either prove that fog = lc or give an example of sets D,C and functions f, g such that fog + 1c.

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Q: 3. Let ƒ : A → B be a function. Prove that if ƒ has an inverse, then fis bijective.

A: This question is related to topic function from real analysis.

Q: --to-one o? [ Se

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