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Rational Functions

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 function \(f(x)=\frac{1}{|x|-2}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf \(f(x)=\frac{x^2+1}{x^2-1}\), what is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\frac{2x+1}{x-3}\), what is the domain of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich ordered pair correctly classifies the domain and range of the real-valued function \(f(x)=\dfrac{x^2}{1+x^2}\)? In each ordered pair, the first set represents the domain and the second set represents the range.Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhat is the domain of f(x) = (x² + 1)/(x² - 1)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf f(x) = 1/(|x| - 2), what is the domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhat is the domain of f(x) = sqrt(x + 4) + 1/(x - 1)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsFor real \(x\), if \(f(x)=\frac{x^2+4}{x^2+1}\), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\frac{2}{(x+3)^2+1}-4\) is defined for all real numbers, what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich value is not in the domain of f(x) = 1/(x^2 - 5x + 6)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\frac{1}{x-1}+\frac{1}{x+2}\), what is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich of the following functions has all real numbers as its domain and \([0,1)\) as its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf f(x) = 1/(x² + 1) for x ∈ ℝ, what is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\frac{2x+1}{x-4}\), what is the value of \(f(0)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf \(f(x)=\frac{x+2}{x-1}\), what is the value of \(f(4)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of f(x) = (x − 1)/(x² + 2x − 3)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of the function \(f(x)=\frac{x}{x^2+1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsFor f(x) = 1/(x² + 6), when is the greatest value obtained?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsWhat is the domain of the function \(f(x)=\frac{1}{x^2+6}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsWhich real values are excluded from the domain of the function \(f(x)=\frac{5}{x^2-9}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy