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Class 12MathematicsRelations and FunctionsFunctionsEasy
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If (f(x)=3x+2), what is (f^{-1}(x))?

Answer and explanation

Correct answer: (\frac{x-2}{3})

Step 1: Write (y=3x+2). Step 2: Solving for (x), we get (x=\frac{y-2}{3}). Step 3: Replacing (y) by (x), (f^{-1}(x)=\frac{x-2}{3}).

Related tags

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