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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)=\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 MathematicsIf (f(x)=x^2) and (g(x)=x+1), what are the real solutions of ((f+g)(x)=(fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=2x+3) and (g(x)=x-5), what is the coefficient of (x^2) in ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+1) and (g(x)=2x), which set is correct for ((f-g)(x)>0)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+1) and (g(x)=2x), when is ((f-g)(x)>0) true?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x+1}{x-1}) and (g(x)=\frac{x-1}{x+1}), what is the value of ((f+g)(0))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsFor functions defined on the real numbers, if \(f(x)=x^2\) and \(g(x)=x\), what is the nature of \((fg)(x)=f(x)g(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2) and (g(x)=|x|), what is the nature of ((f+g))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{x^2-9}) and (g(x)=\frac{1}{x-4}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x}{x-1}) and (g(x)=\frac{x-1}{x}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+2x) and (g(x)=x^2-2x), what is ((f-g)(x)) equal to?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=|x−2| and g(x)=x−2, for which x is (f−g)(x)=0 true?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=2x-1) and (g(x)=3-x), choose the correct value of ((2f-3g)(4)).Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=2x-1) and (g(x)=3-x), what is the value of ((2f-3g)(4))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x+2\) and \(g(x)=x^2-4\), what are the correct simplified form and domain of \(\left(\frac{g}{f}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard