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

MathematicsWhich statement is correct for (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:(0,\infty)\to\mathbb{R}) is defined by (f(x)=\ln x), what type of function is (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\setminus{-3}\to\mathbb{R}\setminus{2}) is given by (f(x)=\frac{2x-1}{x+3}), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=3x-1) and (g(x)=\frac{x+1}{3}), what kind of function is (g\circ f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2), why does (f^{-1}) not exist as an ordinary function?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x+3) and (g:\mathbb{R}\to\mathbb{R}) by (g(x)=\frac{x-3}{2}), which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf \(f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}\) is defined by \(f(x)=\frac{1}{x}\), what is (f\circ f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:(0,\infty)\to\mathbb{R}) is defined by (f(x)=\ln x), what is (f^{-1}(x))?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:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x-2}{3}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) is bijective, which statement is correct about (f)?Class 12Relations and FunctionsFunctionsEasy MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\cup R^{-1})?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Will (R^{-1}) be reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsIf (R\subseteq S), which statement about inverse relations is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are relations, what is ((R\cap S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are relations, what is ((R\cup S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a symmetric relation, which statement about (R\circ R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsFor any relation (R), which property does (R\cup R^{-1}) always have?Class 12Relations and FunctionsIntroduction to RelationsExpert