A function \( f ( x ) \) is said to have a removable discontinuity at \( x = a \). if both of the following conditions hold:
1. \( f \) is either not defined or not continuous at \( x = a \) .
2. \( f ( a ) \) could either be defined or redefined so that the new function is continuous at \( x = a \) .
show that
has a removable discontinuity at x=-6y by
(a) verifying \( ( 1 ) \) in the definition above, and then
(b) verifying \( ( 2 ) \) in the definition above by determining a value of \( f ( - 6 ) \) that would make \( f \) continuous at \( x = - 6 . \)
\( f ( - 6 ) = \) ? would make \( f \) continuous at \( x = - 6\)
Now draw a graph of \( f ( x ) \) . It's just a couple of parabolas!