What is the solution for this problem?

 The vertical asymptoms are " x =  3"  and " x = -3 " .

The answer is:  " x = ± 3 " . 


Explanation:

The "denominator" cannot equal "0" ; since one cannot "divide by "0" ; 

So;  set the "denominator" equal to "0" ; 


→  "  x² − 9 = 0 " ;  Solve for all values of "x" ; 

Add "9" to each side of the equation: 

→    x² − 9 + 9 = 0 + 9 ; 

to get: 

→   x²  = 9 ; 

Take the square root of each side of the equation; 
  to isolate "x" on one side of the equation; & to solve for "x" ; 

→  √(x²)  = √9 ; 

→  |x|  = 3 ; 

→  x = ± 3 .

 The vertical asymptoms are " x =  3"  and " x = -3 " .

The answer is:  " x = ± 3 " .