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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)=|x-2|) and (g(x)=|x+2|), what is ((f-g)(0))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+1\) and \(g(x)=x^2-1\), when is \(\left(\frac{f}{g}\right)(x)\) greater than (1)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x}{x-1}) and (g(x)=\frac{1}{x-1}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=2x^2-1 and g(x)=x^2+3, when is (f-g)(x)>0?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x^2-4}{x+2}) and (g(x)=x-2), where is ((f-g)(x)) equal to (0)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=x²+px+4 and g(x)=2x+1, and the minimum value of (f+g)(x) is 0, what is p?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{1}{x^2+1}\) and \(g(x)=x^2+1\), what is the range of the product function \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2-2x) and (g(x)=x+3), what is ((fg)(1))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=x-3\), what is the domain of the quotient function \(\left(\frac{g}{f}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{x-1}{x+1}\) and \(g(x)=\frac{x+1}{x-1}\), what is the simplified form of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x}{x+2}) and (g(x)=\frac{2}{x}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2-6x+10) and (g(x)=x-1), what is the minimum value of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{2-x}), what is the maximum value of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2\) and \(g(x)=|x|\), for which real values of \(x\) is \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{1}{x}\) and \(g(x)=\frac{1}{x+1}\), what are the correct form and domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+ax\) and \(g(x)=bx+1\), and \((f-g)(x)=x^2-5x-1\), what is the value of \(a-b\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=(x+2)/(x−2) and g(x)=(x−2)/(x+2), what is the simplified form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^3\) and \(g(x)=x^2\), what are the real solutions of \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the domain of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=|x|+x and g(x)=|x|-x, what is their pointwise product (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsHard