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Quotient Function

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

MathematicsLet f and g be polynomial functions and \(h(x)=\frac{f(x)}{g(x)}\). If \(g(a)=0\), which statement about h at \(x=a\) is necessarily true?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsSuppose the real functions \(f\) and \(g\) both have domain \(\mathbb{R}\). Which condition ensures that the quotient function \(\frac{f}{g}\) also has domain \(\mathbb{R}\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), for which value of \(x\) is \(\left(\frac{f}{g}\right)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsFor a quotient function \(h(x)=\frac{p(x)}{q(x)}\), which condition is necessary for a value of \(x\) to belong to its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium