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Real Valued Functions

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

MathematicsFor f(x) = 1/(x - 10), which value of x is not allowed?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 1EasyMathematicsIf f(x)=log(x−2) and g(x)=√(8−x), what is the domain of (fg)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39HardMathematicsIf f(x)=x^2+4x+5 and g(x)=x+2, what is the domain of (f/g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 37EasyMathematicsIf f(x)=√(4-x^2) and g(x)=x+1, what is the domain of (fg)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 37MediumMathematicsIf f(x)=√(x+4) and g(x)=1/(x-1), what is the domain of (f+g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39MediumMathematicsIf f(x)=x^2+2x+2 and g(x)=x+1, what is the domain of (f/g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39MediumMathematicsWhich of the following functions is defined for all real numbers, has all real numbers as its range, but is not a one-one function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39HardMathematicsWhich option correctly describes the domain and range of the function \(f(x)=\frac{1}{x^2+1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 36ExpertMathematicsWhich of the following real-valued functions has natural domain \\([-1,1]\\) and range \\([0,1]\\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 36ExpertMathematicsWhat is the range of y = 1/(x^2 + 4)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 35MediumMathematicsWhich of the following functions is defined and gives a real value for every real number \(x\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34ExpertMathematicsWhich of the following real-valued functions has all real numbers as its domain but does not attain a minimum value?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34ExpertMathematicsWhat is the domain of the graph of the function \(f(x)=\sqrt{x+5}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34ExpertMathematicsWhich of the following functions has all real numbers as its domain but does not have all real numbers as its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 36HardMathematicsWhat is the range of (f(x)={x}), where ({x}) is the fractional part?Class 11Relations and FunctionsGraphs of standard functionsLevel 36HardMathematicsWhat is the domain of the graph of (f(x)=√(x+4)-2)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 36MediumMathematicsWhich of the following functions has a domain consisting only of positive real numbers?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 36MediumMathematicsWhat is the real domain of \(f(x)=\sqrt{16-x^2}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 35EasyMathematicsWhich of the following real-valued functions has domain \(\mathbb{R}\) and range \([0,\infty)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34MediumMathematicsIf 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 RangeLevel 34Medium