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Let f and g be two real valued functions, defined by, f(x) = x, g (x) = |x|, find \(\frac{f}{g}\) |
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Answer» \(\frac{f}{g}(x)=\frac{f(x)}{g(x)}=\frac{x}{|x|}\\=\begin{cases}1, & \quad x>0\\-1, & \quad x<0\end{cases}\) Note: \(\frac{f}{g}\) is not defined at x = 0. |
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