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Real Valued Functions Their Domain And Range

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 RangeEasyMathematicsIf 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 RangeHardMathematicsLet f and g be polynomial functions and \(h(x)=\frac{f(x)}{g(x)}\). If \(g(a)=0\), which statement about h at \(x=a\) is necessarily true?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpertMathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=x-5\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpertMathematicsIf 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 RangeExpertMathematicsIf 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 RangeEasyMathematicsIf 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 RangeMediumMathematicsIf \(f(x)=\sqrt{x}\) and \(g(x)=x-7\), what is the domain of \((f\circ g)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpertMathematicsIf 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 RangeMediumMathematicsIf 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 RangeMediumMathematicsWhich 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 RangeHardMathematicsIf \(f(x)=\frac{x^2-1}{x+1}\) 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 RangeHardMathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=\sqrt{3-x}\), what is the domain of \((f-g)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHardMathematicsIf \\(f(x)=\\sqrt{x}\\) and \\(g(x)=\\frac{1}{\\sqrt{4-x}}\\), what is the domain of the product function \\((fg)(x)\\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHardMathematicsIf \(f(x)=\frac{1}{\sqrt{x-1}}\) and \(g(x)=x^2\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMediumMathematicsFor a quotient function \(h(x)=\frac{p(x)}{q(x)}\), which condition is necessary for a value of \(x\) to belong to its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMediumMathematicsIf \(f(x)=\frac{x}{x+2}\) 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 RangeMediumMathematicsWhat is the value of the signum function \(f(x)=\operatorname{sgn}(5-x)\) at \(x=7\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpertMathematicsFor the function f(x) = ⌊2x⌋, what is its range when x ∈ [1, 1.5)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpertMathematicsFor the function \(f(x)=\lfloor x+0.5\rfloor\), what is the value of \(f(2.6)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert

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