if the following function is continous, then what is the value of b?

Question

g(t)={(2t^2+2t-24)/(t-3) if t is not equal to 3

{b if t=3

 

Answer 1

after simplifying g(t) (dividing out the t-3 factor) you get 2(t+4) which must give answer b, to be continuous, when t=3.

Therefore b = 2(7) = 14.