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Subjects
Class 12MathematicsRelations and FunctionsFunctionsMedium
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If (f) and (g) are inverse functions, what is ((g\circ f)(x))?

Answer and explanation

Correct answer: (x)

Step 1: Inverse functions undo each other's action. Step 2: Applying (f) first and then (g) brings the original value back. Step 3: Therefore ((g\circ f)(x)=x).

Related tags

Inverse FunctionsCompositionIdentity FunctionFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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  3. 3In a function (f:A\to B), what is (A) called?
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