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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:A\to B) and (g:B\to C) are both invertible functions, then ((g\circ f)^{-1}) is equal to which expression?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:A\to A), where (A={1,2,3,4}), is a permutation function, how many such functions exist?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:A\to B) is both one-one and onto, which statement about (f^{-1}) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x^3+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsLet (A={1,2,3}) and (B={4,5,6}). How many functions (f:A\to B) are both one-one and onto?Class 12Relations and FunctionsFunctionsHardMathematicsOn the set (A={1,2,3}), (f={(1,2),(2,3),(3,1)}) is given. Which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (A) has (4) elements and (B) has (4) elements, how many one-one and onto functions are possible from (A) to (B)?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:A\to A), (A={1,2,3}), and (f(1)=2), (f(2)=3), (f(3)=1), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to(0,\infty)) is given by (f(x)=e^x), what type of function is (f)?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:[0,\infty)\to[0,\infty)) is defined by (f(x)=x^2), what type of function is (f)?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^5+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}) is given by (f(x)=\frac{1}{x}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(x)=x+2), what type of function is (f)?Class 12Relations and FunctionsFunctionsHardMathematicsIf (A) has (4) elements and (B) has (4) elements, how many functions from (A) to (B) are both one-one and onto?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x-5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A) and (f\circ g=I_B), what is correct about (g)?Class 12Relations and FunctionsIntroduction to RelationsMediumMathematicsIf (f:[-1,\infty)\to[0,\infty)), (f(x)=x+1), what type of function is (f)?Class 12Relations and FunctionsIntroduction to RelationsMediumMathematicsIf (f:R\to R), (f(x)=9x-4), which statement is correct about (f)?Class 12Relations and FunctionsIntroduction to RelationsMediumMathematicsIf (f:A\to B) and (g:B\to A) satisfy (f\circ g=I_B) and (g\circ f=I_A), what is correct about (f)?Class 12Relations and FunctionsFunctionsMedium

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