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Class 12MathematicsRelations and FunctionsFunctionsMedium
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If (f(x)=\frac{2x}{x-1}), what is the range of this function?

Answer and explanation

Correct answer: (R-{2})

Step 1: Write (y=\frac{2x}{x-1}). Step 2: From (y(x-1)=2x), we get (x=\frac{y}{y-2}), if (y\ne2). Step 3: Hence every real (y) is possible except (2).

Related tags

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