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Rational Functions

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

MathematicsIf \(f(x)=\frac{2x+1}{x^2+1}\) and \(g(x)=\frac{x-3}{x^2+1}\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=1/(x+1), g(x)=1/(x−1), and h(x)=f(x)+g(x), what is h(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x^2+4}{x}) and (g(x)=\frac{x^2-4}{x}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+4}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x^2+1}{x}) and (g(x)=\frac{x^2-1}{x}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=1/(x^2+1) and g(x)=x^2/(x^2+1), what is (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = (x − 1)/(x + 1) and g(x) = (x + 1)/(x − 1), what is the value of (f + g)(0)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf \(f(x)=\frac{x-1}{x+1}\) and \(g(x)=\frac{x+1}{x-1}\), what is the simplified form of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{x^2-1}{x+1}\) 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 RangeHard MathematicsIf f(x)=(x+2)/(x−2) and g(x)=(x−2)/(x+2), what is the simplified form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=1/(x+1) and g(x)=1/(x−1), what is the simplified form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=(x+1)/(x−1) and g(x)=(x−1)/(x+1), what is the correct domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x+2}{x}) and (g(x)=\frac{x-2}{x}), what is ((f^2-g^2)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x) = (x + 1)/(x − 1) and g(x) = (x − 1)/(x + 1), what is (f + g)(0)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x}{x+1}) and (g(x)=\frac{1}{x-2}), what is the domain of ((f+g)(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)/(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{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