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Relations And 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 range of f(x) = 5 − √(x² + 1)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the domain of f(x) = 1/log₂x?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the domain of the function 8f(x)=\log_{10}(4-x^2)9?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsIf \(f(x)=\sqrt{x+4}+\sqrt{4-x}\), what is the domain of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsIf the range of f(x) = ax² + 4 is [4, ∞), which condition on a is correct?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsIf the domain of the function \(f(x)=\frac{1}{x-a}\) is \(\mathbb{R}\setminus\{5\}\), what is the value of \(a\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsIf the domain of \(f(x)=\sqrt{x-a}\) is \([7,\infty)\), what is the value of \(a\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsWhat is the range of the function \(f(x)=\frac{|x|}{1+|x|}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsIf f(x) = 3/(2 − √x), what is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the domain of the real-valued function \(f(x)=\sqrt{|x|-3}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsWhat is the range of f(x) = (x² − 4)/(x − 2)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the range of f(x) = 1/(x² + 4x + 5)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the domain of the function \(f(x)=\sqrt{x-1}+\sqrt{x+2}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Expert MathematicsWhat is the range of the function f(x) = √(4 − x²)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the domain of the function f(x) = 1/√(x² − 9)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the maximum value of f(x) = 1/(x^2 + 2x + 2)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 33Medium MathematicsIf \(f(x)=\sqrt{x}+\sqrt{1-x}\), what is the domain of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 33Hard MathematicsIf f(x) = 3/(x² − 2x + 2) + 1, what is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 33Hard MathematicsChoose the domain of f(x) = √(x − 3)/√(7 − x).Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 33Hard MathematicsWhat is the domain of f(x) = √(x − 1) + 1/(x − 5)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 33Medium