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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 \(f(x)=x^2+3x+2\) and \(g(x)=x+1\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x\ne -1\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = √(x + 1) and g(x) = √(x − 3), what is the domain of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-1\) and \(g(x)=x+1\), what is \(\left(\frac{f}{g}\right)(2)\) for (x\ne -1)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x² and g(x) = 2, when will (f + g)(x) and (fg)(x) be equal?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x\), \(g(x)=x+3\), and \(h(x)=x-1\), what is \((f+g-h)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x}{x-1}) and (g(x)=\frac{x-1}{x+1}), what is the simplified form and restriction of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x-3\) and \(g(x)=x+5\), what is the value of \((fg)(0)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+4x+4\) and \(g(x)=x+2\), what is the value of \(\left(\frac{f}{g}\right)(x)\) for \(x\ne -2\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = √x and g(x) = 1/(x − 4), what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x+1\) and \(g(x)=x^2-1\), what is the value of \((f+g)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x² + 2x and g(x) = x² − 2x, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x^2), simplify ((fg)(x)).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = |x| and g(x) = x, what is the value of (f + g)(-4)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf the functions \(f(x)=3\) and \(g(x)=x^2-2x\) are given, what is the product function \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = 2x² − 3 and g(x) = x² + 5, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x+1}{x-2}) and (g(x)=x^2-4), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+4\) and \(g(x)=2x-1\), which equation is obtained from \((f+g)(x)=(fg)(x)\)? Here, \((fg)(x)\) denotes the product of \(f(x)\) and \(g(x)\).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2\) and \(g(x)=3x\), what values of \(x\) satisfy \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=5x+4\) and \(g(x)=2x-3\), what is the value of \((f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x-1\) and \(g(x)=x^2\), what is the value of \((f+g)(-2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium