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One One Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x\cos^2 x)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (A) and (B) are finite sets, (|A|=|B|=7), and (f:A\to B) is one-one, which conclusion about (f) is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsAmong one-one functions from (A={1,2,3,4,5}) to (A), how many functions send (1) to (1)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\ln(x^2)), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is correct about the one-one nature of (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln(x^2))?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^{2x+1})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one and (g:B\to C) is not one-one, which statement about (g\circ f) is not necessarily true?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is always correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsFor (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+3), what conclusion follows from (f(a)=f(b))?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3-n), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsChoose the correct statement for (f:\mathbb{N}\to\mathbb{N}), (f(n)=2n-1).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[-1,1]\to[0,\pi]), (f(x)=\arccos x), which option is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\arctan x)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\frac{\pi}{2}]\to\mathbb{R}), (f(x)=\sin x+\cos x), on which subinterval is (f) one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+\cos x), not one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,5]\to[0,\infty)), (f(x)=\sqrt{5-x}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsChoose the correct option for (f:[-3,\infty)\to\mathbb{R}), (f(x)=\sqrt{x+3}).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-|x|), which statement is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct reason that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+|x|), is not one-one?Class 12Relations and FunctionsOne-one functionExpert