Define and . Determine the domain of the quotient function…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Define f(x)=x2−4f(x)=x^2-4 and g(x)=∣x∣−3g(x)=|x|-3. Determine the domain of the quotient function (fg)(x)=f(x)g(x)\displaystyle \left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}.

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