8. [-/2 Points] DETAILS LARCALCET8 2.4.072. Find the constant $a$ such that the function is continuous on the entire real line. \begin{equation*} g(x) = \begin{cases} \frac{6\sin(x)}{x}, & x < 0\\a - 2x, & x \ge 0 \end{cases} \end{equation*}
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Step 1: To find the constant a such that the function is continuous on the entire real line, we need to ensure that the function is continuous at the point where x = 0. Show more…
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