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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।

MathematicsLet (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3-6x^2+12x-5). Choose the correct statement about (f) being onto.Class 12Relations and FunctionsReflexive relationExpert MathematicsLet (f:\mathbb{R}\to\mathbb{Z}), where (f(x)=\lceil x\rceil). Choose the correct statement for (f).Class 12Relations and FunctionsReflexive relationExpert MathematicsLet (f:\mathbb{R}\to[0,\infty)), where (f(x)=|x-3|). Is (f) onto?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), where (f(x)=\frac{1}{x}), choose the correct statement about (f).Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (g\circ f) is onto, which statement about (f) is not always true?Class 12Relations and FunctionsReflexive relationExpert MathematicsLet (f:A\to B) be onto and (g:B\to C) be onto. What is correct about (g\circ f:A\to C)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf \(f:\mathbb{R}\to\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\), where \(f(x)=\tan^{-1}x\), what is the correct conclusion?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:[0,\pi]\to[-1,1]), where (f(x)=\cos x), which statement is correct about (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsThe function \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), where \(f(x)=\sin x\), is of which type?Class 12Relations and FunctionsReflexive relationExpert MathematicsLet (f:\mathbb{R}\to(0,\infty)) where (f(x)=e^x). Which statement is correct about (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:[1,\infty)\to[0,\infty)) where (f(x)=x^2-2x+1), which option is correct for (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsThe function (f:\mathbb{R}\to(-\infty,4]) is defined by (f(x)=4-(x-2)^2). What type of function is it?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), choose the correct statement about (f) being onto.Class 12Relations and FunctionsReflexive relationExpert MathematicsLet (f:\mathbb{R}\to[0,\infty)) be defined by (f(x)=x^2+2x+1). When will (f) be considered onto?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:\mathbb{R}\to[-1,1)), (f(x)=\frac{x^2-1}{x^2+1}), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x}), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsWhich option is correct for (f:\mathbb{R}\to(1,\infty)), (f(x)=x^2+1)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), which statement is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsWhat is the correct conclusion for (f:(0,\infty)\to(0,\infty)), (f(x)=\ln x)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionExpert