Answer:
Option C. continuous except x = 5 and x = 9.
Step-by-step explanation:
The given function is
Now we have to check the continuity of the given function
We know if the denominator of a function which is in the form of a fraction is 0 then the given function is not continuous.
If we put x - 5 = 0
x = 5
and x - 9 = 0
x = 9
These are the two values of x for which the function is not defined.
Therefore option C. function is continuous except x = 5 and x = 9
is the correct answer.