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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।

MathematicsWhy is (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lceil x\rceil), onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=x^2-1), what is the correct reason for onto property?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:\mathbb{R}\setminus{2}\to\mathbb{R}\setminus{3}), (f(x)=\frac{3x+1}{x-2}), choose the correct statement.Class 12Relations and FunctionsOnto functionExpert MathematicsIs (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3+1), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) and (f(x)=2^x), what preimage of (y>0) proves that (f) is onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(-1,1)) and (f(x)=\frac{x}{1+|x|}), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\) and \(f(x)=\tan x\), why is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}) and (f(x)=\frac{1}{x}), what is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) and (f(x)=\frac{2x+1}{x-1}), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x-7), why is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n+5), is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{-2}\to\mathbb{R}\setminus{3}) and (f(x)=\frac{3x+1}{x+2}), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to[1,\infty)), (f(x)=x^3+1), why is it onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), what is (x) for any (y\in\mathbb{R}) such that (f(x)=y)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b) where (a\ne0), what type of function is it?Class 12Relations and FunctionsOnto functionHard MathematicsWhat is the correct conclusion about (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x})?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), what preimage can be taken for (y\in[1,\infty))?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x-1}), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2+2x), what can be a preimage of (y\ge0) to show that (f) is onto?Class 12Relations and FunctionsOnto functionMedium