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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)=\frac{x^2-9}{x-3}) and (g(x)=x+3), which statement about (f) and (g) is correct?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+1\) and \(g(x)=2x\), what is \(\left(\frac{f}{g}\right)(1)+\left(\frac{g}{f}\right)(1)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=√(4−x) and g(x)=1/√x, what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{2x+1}{x-1}) and (g(x)=\frac{x-1}{2x+1}), what is the value of ((fg)(0))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsSuppose the real functions \(f\) and \(g\) both have domain \(\mathbb{R}\). Which condition ensures that the quotient function \(\frac{f}{g}\) also has domain \(\mathbb{R}\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=2x-1) and (g(x)=x^2+1), what is the minimum value of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=√(x−2) and g(x)=√(x+2), what is the domain of (f−g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=\frac{x}{x-3}\) and \(g(x)=\frac{x-3}{x}\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x+2) and (g(x)=x^2-1), what is the value of ((fg)(-2))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x}\) and \(g(x)=x-4\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=x² and g(x)=1/x, which equation is obtained from (f+g)(x)=2?Class 11Relations and FunctionsAlgebra of real functionsMedium 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 \(f(x)=x^2+2x\) and \(g(x)=3x-5\), what is the expression for \((2f-3g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{9-x^2}) and (g(x)=\frac{1}{x}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard 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)=|x−3| and g(x)=2x+1, what is the value of (f−g)(4)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-4\) and \(g(x)=x-2\), which form is correct for \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-2}) and (g(x)=\sqrt{x+3}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+1) and (g(x)=2x), under what condition is (f-g) zero?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x^2-1}{x+1}) and (g(x)=x-1), when can (f) and (g) be considered equal functions?Class 11Relations and FunctionsAlgebra of real functionsHard