Properties of inverse function:If f:A to B and g:B to A is an inverse of 'f' then fog=I_B & gof=I_A

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If f is a bijection and g is the inverse of f; then `fog = I_B` and `gof = I_A` where `I_A` and `I_BIf f is a bijection and g is the inverse of f; then `fog = I_B` and `gof = I_A` where `I_A` and `I_B
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