+0  
 
0
82
1
avatar

Let

f(x) = 9x + 16 if x < 2,

f(x) = 8x - 40 if x >= 2.

 

If f(x) = -2, find the sum of all possible values of x.

 Jun 18, 2021

Best Answer 

 #1
avatar+179 
+2

First, we start by assuming that x < 2.  

 

Thus, it must satisfy the equation f(x) = 9x+16 = -2.  

 

9x+16= -2.  

9x = -18

x= -2.  

 

Because this is < 2, we know that x = -2 is a solution.  

 

Now for the second case, namely, x ≥ 2.  

 

8x-40 = -2

8x= 38

x= 4.75

 

Because 4.75 ≥ 2, this solution is also valid.  

 

From the above method, we can decide that the sum of the possible values of x are -2 + 4.75, or 2.75

 Jun 18, 2021
 #1
avatar+179 
+2
Best Answer

First, we start by assuming that x < 2.  

 

Thus, it must satisfy the equation f(x) = 9x+16 = -2.  

 

9x+16= -2.  

9x = -18

x= -2.  

 

Because this is < 2, we know that x = -2 is a solution.  

 

Now for the second case, namely, x ≥ 2.  

 

8x-40 = -2

8x= 38

x= 4.75

 

Because 4.75 ≥ 2, this solution is also valid.  

 

From the above method, we can decide that the sum of the possible values of x are -2 + 4.75, or 2.75

EnchantedLava68 Jun 18, 2021

24 Online Users

avatar