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Class 12MathematicsRelations and FunctionsFunctionsMedium
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If (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is (f^{-1}(9))?

Answer and explanation

Correct answer: (3)

Step 1: To find (f^{-1}(9)), solve (x^2=9). Step 2: The real solutions are (x=3) and (x=-3). Step 3: Since the domain is ([0,\infty)), only (3) is valid.

Related tags

Restricted DomainInverse ValueSquare FunctionFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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