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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:\mathbb{R}\to[0,\infty)) is defined by (f(x)=x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+3), (g(x)=x^2), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B), (A={1,2,3}), and (B={a,b}), how many functions are possible from (A) to (B)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x-5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2+2x+3), which statement about the range of (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf \(f(x)=x+2\), \(g(x)=2x-1\), and \(h(x)=x^2\), what is the value of \((h\circ g\circ f)(1)\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=x^2-1) and (g(x)=x+2), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (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 MathematicsIf (f:A\to B) is bijective and (B) has (8) elements, how many elements will (A) have?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=|x-4|+1), why is it not onto?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=|x-4|+1), what is the range?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x^2-5x+6), which of (f(2), f(3), f(4)) are zero?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^2+1), what is (f^{-1}({5}))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:[0,\infty)\to[1,\infty)), (f(x)=x^2+1), what is (f^{-1}(10))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^3+5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x^2-4) and (g(x)=\sqrt{x+4}), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B), (A={1,2,3,4,5}), (B={a,b,c}), and (f={(1,a),(2,a),(3,b),(4,b),(5,c)}), what type of function is (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=|x|) and the domain is ({-4,-2,0,2,4}), how many elements are in the range?Class 12Relations and FunctionsFunctionsMedium