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Class 12MathematicsRelations and FunctionsFunctionsMedium
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If (f:R\to R), (f(x)=x^3+2), what is (f^{-1}(10))?

Answer and explanation

Correct answer: (2)

Step 1: To find (f^{-1}(10)), solve (x^3+2=10). Step 2: (x^3=8), so (x=2). Step 3: For a cubic function, the real cube root can be taken directly.

Related tags

Inverse FunctionCubic FunctionPreimageMediumFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1If (f:A\to B) is a function, what condition is necessary for every element of (A)?
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  3. 3In a function (f:A\to B), what is (A) called?
  4. 4In a function (f:A\to B), what is (B) called?
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  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
  7. 7Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
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  10. 10If f(x) = 3x − 1, what is the value of f(2) + f(0)?
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