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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।

MathematicsIf (g\circ f) is one-one, which of the following conclusions is certainly true?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, choose the correct statement about (g\circ f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (g:\mathbb{R}\to\mathbb{R}) is one-one and (f:\mathbb{R}\to\mathbb{R}), (f(x)=g(2x-3)), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich statement is correct for (f:\mathbb{R}\to[0,\infty)), (f(x)=e^{x^2})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{2x+1}), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+x^2).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\sin x), what is the correct statement for (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x).Class 12Relations and FunctionsOne-one functionHard MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x), not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsUnder which condition will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+ax), certainly be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^2+bx+c) and (a\neq0), what is the correct statement about (f) on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf both (A) and (B) have (4) elements, how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (|A|=3) and (|B|=7), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (|A|=5) and (|B|=3), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4}) and (B={a,b,c,d,e}), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsFor the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+3,&x<0\x^2+3,&x\geq0\end{cases}). Choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\begin{cases}2x,&x<1\x+1,&x\geq1\end{cases}), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<0\x,&x\geq0\end{cases}). Choose the correct statement for (f).Class 12Relations and FunctionsOne-one functionHard MathematicsThe function \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\2x+2,&x\geq0\end{cases}\). Choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,2\pi]\to\mathbb{R}), (f(x)=\sin x), which statement is correct for (f)?Class 12Relations and FunctionsOne-one functionHard