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Domain Of Functions

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

MathematicsIf f(x) = 1/√(x − 4) and g(x) = x + 1, what is the domain of (f + g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf \(f(x)=\sqrt{x-2}\) and \(g(x)=\sqrt{10-2x}\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=\frac{x^2-1}{x+1}\) and \(g(x)=x-1\), for which real values of \(x\) do \(f\) and \(g\) have the same value?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\frac{x}{x+2}\) and \(g(x)=\frac{3}{x-5}\), what is the domain of the product function \((fg)(x)=f(x)g(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf \(f(x)=\frac{1}{x-1}\) and \(g(x)=\frac{1}{x+1}\), which values are excluded from the domain of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsFor the graph of the function \(y=\frac{x-1}{x+2}\), which value of \(x\) is not included in its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the domain of the graph of the function \(f(x)=\sqrt{x+5}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhich of the following functions has a domain consisting only of positive real numbers?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf the real-valued function is \(f(x)=\dfrac{\sqrt{4-x^2}}{x-1}\), which of the following is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of the function \(f(x)=\sqrt{1-|x-2|}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the domain of the function \(f(x)=\sqrt{x+2}+\sqrt{6-x}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsFind the domain of the function \(f(x)=\sqrt{x^2-16}\).Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\sqrt{x-2}+\sqrt{x-8}\), what is the domain of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsIf \(f(x)=\sqrt{x^2+6x+8}\), what is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich of the following is the domain of the function \(f(x)=\frac{1}{\sqrt{x-2}}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of the real-valued function \(f(x)=\dfrac{\sqrt{3-x}}{x-1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of f(x) = 1/(x² + 6x + 10)?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 f(x) = √(x − 3) + 1/(x − 5)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the real domain of the function \(f(x)=\sqrt{12-3x}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy