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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+3}{x-3}) then what is the simplified form of (f(x)+1)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=x^2), (g(x)=x+1) and (h(x)=x-1) then what is (f(g(x))-f(h(x)))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x-1) then what is the domain of ((f\circ g)(x)+(g\circ f)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf f(x)=x^2-1 and g(x)=2x, what is the minimum value of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=x^2+x\) and \(g(x)=x^2-x\), what is the range of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf \(f(x)=x+2\) and \(g(x)=x^2-4\) then what is the simplified form of \(\left(\frac{g}{f}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=\frac{x-2}{x+2}) and (g(x)=\frac{x+2}{x-2}) then what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf f(x)=x² and g(x)=2x+1, what is the value of (f+g)(1)+(fg)(1)? Here, fg denotes the product of f and g.Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (g(x)=x-1) and ((fg)(x)=x^2-1) then what is (f(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=3x+2) and ((f+g)(x)=x^2+3x+5) then what is (g(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf \(f(x)=x^2-4x+4\) and \(g(x)=x-2\) then what is the value of \(\left(\frac{f}{g}\right)(3)\)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=x^2+1) and (g(x)=\frac{1}{x^2+1}) then what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf the real-valued functions \(f(x)=x^2-2x\) and \(g(x)=2x-x^2\) are given, what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{x-3}) then what is the domain of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf \(f(x)=x^2+3x+2\) and \(g(x)=x+1\) then what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf f(x) = x² − 1 and g(x) = x² + 1, then what type of function is (g − f)(x)?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf (f(x)=\frac{3x-2}{5}) and (g(x)=5x+2) then what is ((f\circ g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf \(f(x)=2x+3\) and \(g(x)=\frac{x-3}{2}\) then what is ((f\circ g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpertMathematicsIf f(x)=x^2 and g(x)=x+1, then what is (f∘g)(x)-(g∘f)(x)?Class 11Relations and FunctionsAlgebra of real functionsHardMathematicsLet \(f(x)=\frac{1}{x}\) and \(g(x)=x^2\). Find the domain of \((f\circ g)(x)\).Class 11Relations and FunctionsAlgebra of real functionsExpert

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