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Domain

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the real domain of the function (f(x)=\sqrt{x-4})?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2-1}{x-1}), on which domain does it behave like (x+1)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is considered as (f(x)=\frac{2x-1}{x+3}), which value must be removed from the domain to make it a function?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is described by (f(x)=x+\frac{1}{x}), what should be the correct domain?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=\ln x), what is the real domain?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\sqrt{9-x^2}), what is the real domain?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{2x-3}{x+4}), why is (x=-4) excluded from the domain?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\sqrt{x-3}), what is the real domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{3x+2}{x-1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x-1}{x+1}), where (x\neq -1), what is the value of (x) for which (f(x)=2)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) is a function, which situation violates the definition of a function?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{2x+1}{x-3}), which value must be excluded from the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{N}\to\mathbb{N}) is defined by (f(n)=n+2), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x+1}{x-1}), what are the domain and the missed range value of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\tan x), why is this function not well-defined?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x-1}{x+1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\sqrt{x+1}) and (g(x)=\frac{1}{x-2}), what is the real domain of ((g\circ f)(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x+2}{x^2-4}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMedium