9514 1404 393
Answer:
c = 2/15
Step-by-step explanation:
The left- and right-limits need to be equal to the function value at x=6.
cx +2 = cx^2 -2
6c +2 = 36c -2 . . . . . substitute x=6
4 = 30c . . . . . . . . . . . subtract 6c -2
c = 4/30 = 2/15 . . . . .divide by the coefficient of c
The function is continuous when c=2/15.
