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Algebra 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)=\frac{x^2}{x+1}) and (g(x)=\frac{1}{x+1}), what is the simplified form of ((f-g)(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)=\sqrt{x^2-1}) and (g(x)=\sqrt{4-x^2}), what is the domain of ((f+g)(x))?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) = 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)=\frac{1}{x}) and (g(x)=\frac{1}{x^2}), what is the nature of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+3x) and (g(x)=x^2-3x), what is the nature 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}), 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 MathematicsIf (f(x)=\sqrt{x}) and (g(x)=x-2), what is the value of ((f+g)(1))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x) = x² − 1 and g(x) = x² + 1, what type of function is (g − f)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{x-2}{x+2}\) and \(g(x)=\frac{x+2}{x-2}\), what is \(\left(\frac{f}{g}\right)(x)\) equal to?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x) and (g(x)=x+1), choose the correct solutions of ((f+g)(x)=(fg)(x)).Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x) and (g(x)=x+1), what are the real solutions of ((f+g)(x)=(fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard