(See) Find the constants a and b such that the function is continuous on the entire real line g(x)= (x^2-a^2)/(x-a), x≠ a , 8 x=a


Question: Find the constants a and b such that the function is continuous on the entire real line

\[g\left( x \right)=\left\{ \begin{aligned} & \frac{{{x}^{2}}-{{a}^{2}}}{x-a},\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x\ne a \\ & 8\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=a \\ \end{aligned} \right.\]

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