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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।

MathematicsIf (f:\mathbb{R}\setminus{-1}\to\mathbb{R}) is defined by (f(x)=\frac{x-1}{x+1}), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+|x|})?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x|x|).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{N}\to\mathbb{N}), (f(n)=n^2+n), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement for (f:[2,\infty)\to\mathbb{R}), (f(x)=|x-2|+3)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{2x+1}), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\sin x), what is the correct statement for (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x).Class 12Relations and FunctionsOne-one functionHard MathematicsFor the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+3,&x<0\x^2+3,&x\geq0\end{cases}). Choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\begin{cases}2x,&x<1\x+1,&x\geq1\end{cases}), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsThe function \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\2x+2,&x\geq0\end{cases}\). Choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[-1,1]\to\mathbb{R}), (f(x)=\arcsin x), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich option is correct for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\arctan x)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct answer about the one-one nature of (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^4+x^2), which statement is correct for (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\setminus{2}\to\mathbb{R}), (f(x)=\frac{x^2-4}{x-2}), what is the correct conclusion about the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement for (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[1,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), choose the correct option for (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), choose the correct answer for (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x+x), which statement about the one-one nature of (f) is correct?Class 12Relations and FunctionsOne-one functionHard