Split functions

[shandymilo]

g(x) = {ax if x < 3
{ab-12 if x =3
{x² -4x+b if x > 3
1. What are the values of b and a if g(x) is continuous at x = 3

Please help and thank you

 

[pka]

g(x) = {ax if x < 3
{ab-12 if x =3
{x² -4x+b if x > 3
1. What are the values of b and a if g(x) is continuous at x = 3

\(\displaystyle g(x) = \left\{ {\begin{array}{*{20}{lr}}{ax,}&{x < 3}\\{ab - 12,}&{x = 3}\\{{x^2} - 4x + b.}&{x > 3}\end{array}} \right.\)

make \(\displaystyle \displaystyle g(3) = {\lim _{x \to {3^ - }}}g(x) = {\lim _{x \to {3^ + }}}g(x)\)