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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+1}{x-1}) and (g(x)=x-1), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+6\) and \(g(x)=x-6\), what is the simplified form of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-1\) and \(g(x)=2x+1\), and \((fg)(x)=f(x)g(x)\), find the value of \((fg)(2)\).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x² + 2x and g(x) = x² − 2x, what is (f + g)(3)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf \(f(x)=2x^2\) and \(g(x)=x+1\), what is the value of \((f-g)(-2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+4}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-9\) and \(g(x)=x-3\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x \neq 3\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+2\) and \(g(x)=x-5\), what is the value of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = 3x + 5 and g(x) = x² − 4, find (g − f)(x).Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf \(f(x)=x^2+1\) and \(g(x)=2x-3\), what is \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x-2\) and \(g(x)=x+2\), what is \((fg)(x)+4\) equal to?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2\), \(g(x)=x\), and \(h(x)=1\), what is the value of \((f+2g+h)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+2x+1\) and \(g(x)=x+1\), which statement is correct for \(\left(\frac{f}{g}\right)(-1)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x+2}{x-1}) and (g(x)=x-1), what is the simplified form of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-1\) and \(g(x)=x-1\), what is the factorized form of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=x+1) and (g(x)=x^2+1), what is the degree of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-3\), what is \(\left(\frac{f}{g}\right)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x^2\) and \(g(x)=3x^2\), what is the value of \((5f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{1}{x^2-1}) and (g(x)=x+2), which values are excluded from the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x-1\) and \(g(x)=x+1\), which is the correct pair for \((f+g)(x)\) and \((f-g)(x)\), respectively?Class 11Relations and FunctionsAlgebra of real functionsMedium