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If (f(x)=\frac{x+2}{x-3}), what is the range of (f)?

Answer and explanation

Correct answer: (\mathbb{R}\setminus{1})

From (y=\frac{x+2}{x-3}), (x=\frac{3y+2}{y-1}), so (y\ne 1). The range excludes the (y)-value that makes (x) undefined.

Related tags

RangeRationalLinear-FractionReal Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeRelations And FunctionsMathematicsClass 11 Mcq

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