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Rational 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)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the simplified form of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\frac{x-2}{x+2}\) and \(g(x)=\frac{x+2}{x-2}\), what is \(\left(\frac{f}{g}\right)(x)\) equal to?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 value of ((f+g)(0))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-3}) and (g(x)=\frac{1}{x+1}), what is the correct simplified form of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+2}), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=\frac{x+2}{x-3}\) and \(g(x)=x-3\), what is the value of \((fg)(4)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsWhich symmetry does the graph of \(f(x)=\frac{x^3}{x^2+1}\) have?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat is the maximum value of y = 1/(x² + 9)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsThe graph of y = 1/(x + 1)^2 is symmetric about which line?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat is the horizontal asymptote of the graph of the function \(y=\frac{x+4}{x-2}\)?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat is the horizontal asymptote of the function \(y=\frac{4}{x+2}-5\)?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat is the vertical asymptote of y = 1/(x − 6)?Class 11Relations and FunctionsGraphs of standard functionsEasy MathematicsWhich option correctly describes the domain and range of the function \(f(x)=\frac{1}{x^2+1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsAt which points do the graphs of y = 1/x and y = x intersect?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat type of symmetry does the graph of the function \(f(x)=\frac{x^2-1}{x^2+1}\) have?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat is the range of y = 1/(x^2 + 4)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsFor the graph of the function \(y=\frac{x-1}{x+2}\), which value of \(x\) is not included in its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the horizontal asymptote of the graph of the function \(y=\frac{3}{x-2}+4\)?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhat is the range of the function \(y=\frac{1}{|x|}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhich of the following statements is correct about the graph of the function \(y=\frac{1}{x}\)?Class 11Relations and FunctionsGraphs of standard functionsExpert