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Relations And 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) = x² and g(x) = 2, when will (f + g)(x) and (fg)(x) be equal?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf \(f(x)=x-3\) and \(g(x)=x+5\), what is the value of \((fg)(0)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x) = √x and g(x) = 1/(x − 4), what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x) = x² + 2x and g(x) = x² − 2x, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf c(f(x)=|x|c) and c(g(x)=xc), what is the value of c((f+g)(-4)c)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x) = 2x² − 3 and g(x) = x² + 5, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf \(f(x)=x^2\) and \(g(x)=3x\), what values of \(x\) satisfy \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=5x+4\) and \(g(x)=2x-3\), what is the value of \((f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=x^2+1 and g(x)=x-2, what is the value of (fg)(3)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=3x^2\) and \(g(x)=2x+1\), what is the value of \((f+2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=4x-7\) and \(g(x)=x+2\), what is the value of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=x+4\) and \(g(x)=4-x\), what is the product function \((fg)(x)=f(x)g(x)\) equal to?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=\frac{x+2}{x-3}\) and \(g(x)=x-3\), what is the value of \((fg)(4)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x^2+x+1\) and \(g(x)=x^2-x+1\), what is \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x) = x + 1 and g(x) = x², what is the degree of the product function (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium