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Algebra Of Real 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)=x+1) and (g(x)=x^2-4), what is the domain of (\frac{f}{g})?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-3}) and (g(x)=x^2-9), what is the domain of (fg)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of (f+g)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x+2}\) and \(g(x)=\sqrt{6-x}\), what is the real domain of \(\left(\frac{f-g}{f+g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}), what is the correct form of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+2) and (g(x)=2x), what is correct about the minimum value of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{x+3}) and (g(x)=\sqrt{x-1}), what are the correct simplified form and domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2-6x+9\) and \(g(x)=x-3\), what is the value of the quotient function \(\left(\frac{f}{g}\right)(5)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x) = (x+2)/(x−2) and g(x) = (x−2)/(x+2), what is the correct form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x^2-9}{x-3}) and (g(x)=x+3), what is the correct statement about (f) and (g)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+4x+4\) and \(g(x)=x+2\), which statement about \(\left(\frac{f}{g}\right)(-2)\) is correct?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2-2x) and (g(x)=x^2+2x), what is the correct factorized form of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x-1\) and \(g(x)=\frac{1}{x-1}\), what is the value of \((f+g)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x-4}\) and \(g(x)=\frac{1}{x-6}\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x) = 2x² − 1 and g(x) = x² + 2, what is (3f − 2g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x) = x/(x+1) and g(x) = 1/x, what are the simplified form and domain of (f/g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=x²+3x and g(x)=x²−3x, what is the nature of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=|x| and g(x)=x², what is the nature of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), choose the correct simplified form of ((f-g)(x)).Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the simplified form of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard