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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) = x² + ax + 2 and g(x) = x² − 2ax + 1, and (f − g)(3) = 22, what is the value of a?Class 11Relations and FunctionsAlgebra of real functionsExpert 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)=(x²−1)/(x+1) and g(x)=x−1, on which domain are f and g equal?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=2x²+1, g(x)=x²−3, and h(x)=x²+4, what is the value of (f−g+h)(x)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=x-5\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert 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)=1/(x+1), g(x)=1/(x−1), and h(x)=f(x)+g(x), what is h(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium 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+1)/(x−3) and g(x)=x−3, what is the domain of (f/g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard 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 \(f(x)=x^2-5x\) and \(g(x)=x\), what are the zeroes of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsLet \(f:\mathbb{R}\to\mathbb{R}\) be an even function and \(g:\mathbb{R}\to\mathbb{R}\) be an odd function. Which statement about \(h(x)=f(g(x))\) is always true?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