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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।

MathematicsWhat type is \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), \(f(x)=\sin x\)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), what is the correct statement about (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A) has (3) elements and (B) has (3) elements, how many bijective functions are possible from (A) to (B)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B), where (A={1,2}), (B={a,b,c}), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), which statement is correct about (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x+2), what is the minimum value?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b) is bijective, what is the necessary condition on (a)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf \(f(x)=\frac{1}{x}\), where (x\ne 0), what is the value of (f(f(x)))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is true about (g\circ f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x), what is the correct conclusion about (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=\frac{x-1}{x+1}), then for (x\ne -1), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich statement is correct for (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^x), what type of function is (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=c), where (c) is a fixed real number, when will (f) be one-one?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich statement is correct for (f:\mathbb{R}\to\mathbb{R}), (f(x)=5-2x)?Class 12Relations and FunctionsFunctionsExpert MathematicsWhat is the range of (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+7)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=x+2) and (g(x)=3x-1), what is the value of ((f\circ g)(x)-(g\circ f)(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=2x+1) and (g(x)=x^2), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsExpert