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Rational Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f(x)=\frac{x+2}{x-2}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{3x+2}{x-1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x-1}{x+1}), where (x\neq -1), what is the value of (x) for which (f(x)=2)?Class 12Relations and FunctionsFunctionsHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\frac{x}{1+x^2}\), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x}{1+|x|}), what is its range?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\setminus{3}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+1}{x-3}), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{2x+1}{x-3}), which value must be excluded from the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x+1}{x-1}), what are the domain and the missed range value of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\setminus{-2}\to\mathbb{R}\setminus{3}) is given by (f(x)=\frac{3x+1}{x+2}), which value is missed by (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x}{1+|x|}), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x-1}{x+1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{1+x^2}), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), which value can never occur as (f(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\sqrt{x+1}) and (g(x)=\frac{1}{x-2}), what is the real domain of ((g\circ f)(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x-3}{x+1}), what is the real range?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x-3}{x+1}), which value will not be in the range of (f)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{3x}{x+2}), what is the range of this function?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{3x}{x+2}), does (f(x)=3) have a real solution?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x+2}{x^2-4}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMedium