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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the domain of the real-valued function \(f(x)=\frac{1}{x}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2+2x+5}{x^2+2x+2}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{|2x-1|-5}), what should be the correct domain?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf f: ℝ → ℝ is given by f(x) = (x² + 9)/(x² + 3), what is the range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf (f:\mathbb{R}-{5}\to\mathbb{R}) is given by (f(x)=\frac{x^2-25}{x-5}), which value will not belong to the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{-2}\to\mathbb{R}) is given by (f(x)=\frac{x^2+4x+4}{x+2}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsFor the function defined by \(f(x)=\frac{1}{|x+1|-3}\), what is its largest possible real domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf f: ℝ → ℝ is given by f(x) = (x² + 4)/(x² + 1), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf (f:\mathbb{R}-{4}\to\mathbb{R}) is given by (f(x)=\frac{x^2-16}{x-4}), which value will not belong to the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+4}), which condition on (a) makes it a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{3}\to\mathbb{R}) is given by (f(x)=\frac{x^2-9}{x-3}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{|x|-2}), what should be the correct domain?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2+1}{x^2+2}), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{-1}\to\mathbb{R}) is given by (f(x)=\frac{x^2-1}{x+1}), which value will not belong to the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+1}), which condition on (a) makes it a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{2}\to\mathbb{R}) is given by (f(x)=\frac{x^2-4}{x-2}), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) has (f(x)=\frac{x-a}{x^2-4}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf f: ℝ → ℝ is given by f(x) = 1/(x² − 9), what should be the domain to make it a valid real function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf (f(x)=\frac{1}{x-2}) and the domain is taken from natural numbers, which (x) cannot be in the domain?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x+3}), why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium