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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 \(f(x)=\frac{1}{x-1}\) and \(g(x)=x+1\), what are the real solutions of \((fg)(x)=1\)?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) = x + 1 and g(x) = 1/(x + 1), which statement about (fg)(x) is correct?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x+2}{x-3}) and (g(x)=x-3), what is the simplified form and domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x^2), simplify ((fg)(x)).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x^2 − 9 and g(x) = x + 3, what is the simplified form of (f/g)(x), where x ≠ −3?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f:\mathbb{R}-{2}\to\mathbb{R}) is given by (f(x)=\frac{x^2-4}{x-2}), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f(x)=\frac{1}{x-2}) and the domain is taken from natural numbers, which (x) cannot be in the domain?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x-1}), why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x-2}), why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x}), why will it not be considered a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf A = {1,2,3,4,5} and R = {(x,y): y = 2x}, where x,y ∈ A, what is the range of R?Class 11Relations and FunctionsRelationsMedium