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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (f(x)=3x+4), what is (f^{-1}(x))?

Answer and explanation

Correct answer: (\frac{x-4}{3})

Step 1: Write (y=3x+4) and solve for (x) in terms of (y). Step 2: (y-4=3x), so (x=\frac{y-4}{3}). Step 3: Replace (y) by (x) to get (f^{-1}(x)=\frac{x-4}{3}).

Related tags

FunctionsInverseLinear-FunctionRelations And FunctionsMathematicsClass 12 Mcq
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