Question

Let f : {1, 2, 3} → {a, b, c} be one-one and onto function given byf(1) = a, f(2) = b and f(3) = c. Show that there exists a function g : {a, b, c} → {1, 2, 3}

such that gof = IX and fog = IY

, where, X = {1, 2, 3} and Y = {a, b, c}.​

Answer 1

$\huge\star\mathfrak\pink{{Answer:-}}$

Solution Consider g : {a, b, c} → {1, 2, 3} as g (a) = 1, g (b) = 2 and g (c) = 3. It iseasy to verify that the composite gof = IX is the identity function on X and the compositefog = IY is the identity function on Y

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$<marquee> Thank You </marquee>$

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Answer 2

Answer:

@quickstudi

Explanation:

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