Jul 20, 2020 #2 skeeter Well-known member MHB Math Helper Mar 1, 2012 655 $ f(x)=\left\{\begin{matrix} ax+b, & x<3\\ -ax+3b, & x\ge3 \end{matrix}\right.$ $\displaystyle \lim_{x \to 3^-} f(x) = \lim_{x \to 3^+} f(x) = 6$ $3a+b=6$ $-3a+3b=6$ solve the system for $a$ and $b$

$ f(x)=\left\{\begin{matrix} ax+b, & x<3\\ -ax+3b, & x\ge3 \end{matrix}\right.$ $\displaystyle \lim_{x \to 3^-} f(x) = \lim_{x \to 3^+} f(x) = 6$ $3a+b=6$ $-3a+3b=6$ solve the system for $a$ and $b$