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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:[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 MathematicsIf (f:A\to B) is onto and (g:B\to C) is onto, what can be said about (g\circ f:A\to C)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-1,1)), (f(x)=\frac{x^2-1}{x^2+1}), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=e^{|x|}), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[2,\infty)), (f(x)=x^6+2), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x+1), what is a valid reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=\sqrt{(x+5)^2}), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x<2) and (f(x)=1) when (x\ge2), what is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lceil 2x\rceil), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x-3\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=\sqrt{x-1}), then (f) is onto because which preimage gives (y)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-1,1)), (f(x)=\frac{x}{1+|x|}), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4}), (B={p,q,r}), and (f={(1,p),(2,q),(3,r),(4,q)}), what is correct about (f:A\to B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-2,2]), (f(x)=2\cos x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), which statement is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the main reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), what is correct about onto nature?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^4+1), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1}), what form of (x) shows that (f) is onto?Class 12Relations and FunctionsOnto functionMedium