Question 179645
In order to make g(x) continuous the value at x=3, g(x) needs to look like (x+3) at x=3.
Since g(x) is defined as {{{2+sqrt(k)}}} at x=3, then equate those two values and solve for k.
{{{2+sqrt(k)=6}}}
{{{sqrt(k)=4}}}
{{{k=16}}}