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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+3x and g(x)=x²−3x, what is the nature of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf f(x)=|x| and g(x)=x², what is the nature of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf f(x)=|x−2| and g(x)=x−2, for which x is (f−g)(x)=0 true?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf f(x) = 2x + 1 and g(x) = 3x − 4, what is (fg)(−1)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Easy MathematicsIf f(x) = √(4 − x) and g(x) = 1/x, what is the domain of (f + g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf \(f(x)=x^2+2\) and \(g(x)=2x^2-1\), what is \((g-f)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x) = x + 1 and g(x) = 1/(x + 1), which statement about (fg)(x) is correct?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x)=x² and g(x)=x+1, what is (f+g)(a)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Easy MathematicsIf \(f(x)=\frac{1}{\sqrt{x-1}}\) and \(g(x)=x^2\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39Medium 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 functionsLevel 39Medium MathematicsIf \(f(x)=2x+5\) and \(g(x)=5-2x\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf (f(x)=x^3) and (g(x)=x), in which of the following forms can ((f-g)(x)) be written?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=3x-2 and g(x)=x+4, what is the value of (fg)(1)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf (f(x)=x^2+1) and (g(x)=2x), which expression equals ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=2x^2+x\) and \(g(x)=x^2-x\), what is \((2f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x) = √(x + 1) and g(x) = √(x − 3), what is the domain of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium