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Onto Function

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}\to\mathbb{R}), (f(x)=x^3-3x), what is correct about onto nature?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+1), why is (f) not onto?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 MathematicsIf (f:\mathbb{R}\setminus{3}\to\mathbb{R}\setminus{0}), (f(x)=\frac{2}{x-3}), which statement is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[4,\infty)), (f(x)=e^{2x}+4), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(4,\infty)), (f(x)=e^{2x}+4), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:(2,\infty)\to\mathbb{R}), (f(x)=\ln(x-2)), why is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-4,\infty)), (f(x)=|3x-6|-4), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-\infty,5]), (f(x)=5-(x+2)^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=x^2-4x+7), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[3,\infty)), (f(x)=x^2-4x+7), choose the correct statement.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=kx+3), when will (f) be onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=5x-11), what will be the preimage of any (y\in\mathbb{R}) to show that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-4,\infty)), (f(x)=|x-7|-4), choose the correct option.Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{3}), then (f) is onto because which (x) gives (y)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[9,\infty)), (f(x)=(x+4)^2+9), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=|2x-6|), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to{0,1,2}), (f(x)=0) when (x<0) and (f(x)=1) when (x\ge0), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x\le0) and (f(x)=1) when (x>0), what is correct about (f)?Class 12Relations and FunctionsOnto functionEasy