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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(f(x)=\frac{1}{x}\) 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)=\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 MathematicsIf (f(x)=\frac{x^2-9}{x-3}) and (g(x)=x+3), which statement about (f) and (g) is correct?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+1\) and \(g(x)=2x\), what is \(\left(\frac{f}{g}\right)(1)+\left(\frac{g}{f}\right)(1)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{2x+1}{x-1}) and (g(x)=\frac{x-1}{2x+1}), what is the value of ((fg)(0))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=2x-1) and (g(x)=x^2+1), what is the minimum value of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2-3x+2\) and \(g(x)=x-1\), what is the correct form of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{x}{x-3}\) and \(g(x)=\frac{x-3}{x}\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x+2) and (g(x)=x^2-1), what is the value of ((fg)(-2))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x}\) and \(g(x)=x-4\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2+2x\) and \(g(x)=3x-5\), what is the expression for \((2f-3g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{9-x^2}) and (g(x)=\frac{1}{x}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=(x+1)/(x−1) and g(x)=(x−1)/(x+1), what is the correct domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2-4\) and \(g(x)=x-2\), which form is correct for \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-2}) and (g(x)=\sqrt{x+3}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+1) and (g(x)=2x), under what condition is (f-g) zero?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{2x}{x^2-1}) and (g(x)=\frac{1}{x-1}+\frac{1}{x+1}), what is the domain of (f-g)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{x^2-1}{x+1}) and (g(x)=x-1), when can (f) and (g) be considered equal functions?Class 11Relations and FunctionsAlgebra of real functionsHard