ANSWER

EXPLANATION
If f(x) is continuous at 

Then,

The given function is 





Since,

The function is continuous at 

 
        
                    
             
        
        
        
Answer: 8648640 ways
Step-by-step explanation:
Number of positions = 7
Number of eligible candidates = 13
This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.
The combination Formula is denoted as:
nCr = n! / (n-r)! * r! 
Where n = total number of possible options.
r = number of options to be selected.
Hence, selecting 7 candidates from 13 becomes: 
13C7 = 13! / (13-7)! * 7!
13C7 = 1716.
Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640
 
        
             
        
        
        
Let the number that wll be added be x, then
-7/9 + x = 5
x = 5 + 7/9 = 5 7/9 or 52/9 
        
             
        
        
        
Y = 4/x
so when x = 1 y = 4/1 = 4
answer is A. (1,4)
        
             
        
        
        
Answer:
C, the 3rd one
Hope this helped! Have a great day!