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Algebra 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^2-10x+26) and (g(x)=x^2-10x+30), what is the minimum value of (\frac{f}{g})?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2-2x+2\) and \(g(x)=x^2+2x+2\), where \((fg)(x)=f(x)g(x)\), what is the value of \((fg)(0)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=\frac{2x+1}{x^2+1}\) and \(g(x)=\frac{x-3}{x^2+1}\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=|x+2|+|x-2| and g(x)=4, what is the value of (f-g)(0)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x+3}{x-3}) and (g(x)=\frac{x-3}{x+3}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x) = x² + ax + 1 and g(x) = x² + bx + 1, and (f − g)(x) = 5x, what is the value of a − b?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=x²+1 and g(x)=2x, what is the range of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=\frac{x^2-9}{x-3}\) and \(g(x)=\frac{x^2-1}{x-1}\), what is the value of \((f-g)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=|x|+x) and (g(x)=|x|-x), what is ((f+g)(x)) for (x<0)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2+2x\) and \(g(x)=x^2-2x\), what is the value of the product function \((fg)(1)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=x²−4x+4, g(x)=x−2, and h(x)=1, what is the value of (f−2gh)(x)? Here, (f−2gh)(x)=f(x)−2g(x)h(x).Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2+6x+10) and (g(x)=x^2+6x+14), what is the minimum value of (\frac{f}{g})?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2+1) and (g(x)=2x+2), for which (x) is ((f-g)(x)<0) true?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x^2+4}{x}) and (g(x)=\frac{x^2-4}{x}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2+2x+5\) and \(g(x)=2x+1\), what is the completed-square form of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2) and (g(x)=3x), what is the range of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2+4x+4) and (g(x)=x+2), what are the simplified form and domain of (\frac{f}{g})?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\sqrt{16-x^2}) and (g(x)=\frac{1}{x-1}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x^2-4}{x+2}) and (g(x)=x-2), which statement about ((f-g)(-2)) is correct?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2-1) and (g(x)=2x-2), what are the solutions of ((f-g)(x)=0)?Class 11Relations and FunctionsAlgebra of real functionsExpert