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Functions

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) is bijective, what is (f^{-1}\circ f) equal to?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich condition is necessary and sufficient for a function to have an inverse function?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{Q}\to\mathbb{Q}) and (f(x)=x^2), what is the correct conclusion?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{Q}\to\mathbb{Q}) and (f(x)=x+1), what type of function is it?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^3), choose the correct statement.Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^4), what type of function is it?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4), what is the correct conclusion?Class 12Relations and FunctionsFunctionsExpert MathematicsWhat is the real domain of (f(x)=\sqrt{9-x^2})?Class 12Relations and FunctionsFunctionsExpert MathematicsWhat is the real domain of (f(x)=\frac{1}{\sqrt{x-2}})?Class 12Relations and FunctionsFunctionsExpert MathematicsWhat is the real domain of the function (f(x)=\sqrt{x-4})?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich option cannot be a function?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich of the following is a function from (A={1,2}) to (B={3,4,5})?Class 12Relations and FunctionsFunctionsExpert MathematicsOn the set (A={1,2,3}), (f={(1,2),(2,3),(3,1)}) is given. What type of function is it?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) and (g:B\to C) are both onto, what is (g\circ f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is (g\circ f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=x+2) and (g(x)=x^2), which statement about (f\circ g) and (g\circ f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=x^2+1) and (g(x)=2x-3), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=\frac{3x-1}{2x+5}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}-{1}\to\mathbb{R}-{2}) and (f(x)=\frac{2x+3}{x-1}), which statement is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), what type of function is it?Class 12Relations and FunctionsFunctionsExpert