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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{5-x}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-3}) and (g(x)=\frac{1}{x+1}), what is the correct simplified form of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2-1) and (g(x)=\sqrt{x-2}), what is the real domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsFor real functions (f(x)=\sqrt{x-1}) and (g(x)=\frac{1}{x-3}), what is the domain of the product (fg)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=2x-3) and (g(x)=x^2+1), what is the value of (h(2)) for (h(x)=2f(x)-g(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = 2x + 1 and g(x) = 3x − 4, what is (fg)(−1)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf f(x) = √(4 − x) and g(x) = 1/x, what is the domain of (f + g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+x\) and \(g(x)=x^2-x\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsGiven \(f(x)=\frac{x-2}{x+3}\) and \(g(x)=\frac{x+3}{x-2}\). Find the domain of \((f g)(x)\).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+2\) and \(g(x)=2x^2-1\), what is \((g-f)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x + 1 and g(x) = 1/(x + 1), which statement about (fg)(x) is correct?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x\ne2\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x-3\) and \(g(x)=x^2+1\), what is the value of \((3f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=x² and g(x)=x+1, what is (f+g)(a)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf \(f(x)=x^2+6x+9\) and \(g(x)=x+3\), what is the value of \(\left(\frac{f}{g}\right)(0)\)? Here, \(x\ne -3\).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x+5\) and \(g(x)=5-2x\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x³ and g(x) = x, which of the following is equal to (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=3x-2 and g(x)=x+4, what is the value of (fg)(1)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=x^2+1) and (g(x)=2x), which expression equals ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x^2+x\) and \(g(x)=x^2-x\), what is \((2f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium