Give a formula for the extended function

Question

F9x) = 3-√x / 9-x that is continuous at a=9 

Answer 1

We can factor 9-x on the bottom as (3-√x)(3+√x).

 

Then we can cancel out the 3-√x s. We are left with 1/(3+√x). Now if we plug in 9 for x. We get a value of 1/6, so it is continuous at x=9.