If f: A → B and g: B → C are two bijective functions, then (g o f)⁻¹ is equal to: A. f⁻¹ o g⁻¹ B. g⁻¹ o f⁻¹ C. f o g D. g o f Answer: A) f⁻¹ o g⁻¹ Explanation: By the property of inverse of composite functions (the reversal rule), the inverse of (g o f) is f⁻¹ o g⁻¹.

imo class 12 relations and functions

If f: A → B and g: B → C are two bijective functions, then (g o f)⁻¹ is equal to:

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If f: A → B and g: B → C are two bijective functions, then (g o f)⁻¹ is equal to:

Answer: A) f⁻¹ o g⁻¹

Explanation: By the property of inverse of composite functions (the reversal rule), the inverse of (g o f) is f⁻¹ o g⁻¹.