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Class 12MathematicsRelations and FunctionsFunctionsHard
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If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-1), what is the value of (f^{-1}(7))?

Answer and explanation

Correct answer: (2)

Step 1: (f^{-1}(7)) means the value of (x) for which (f(x)=7). Step 2: (x^3-1=7), so (x^3=8) and (x=2). Step 3: For inverse value questions, set the original function equal to the given output.

Related tags

Inverse-ValueCubic-FunctionFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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