Respuesta :

f(x)=|2x+1|+5

f(-3) = 
|2*-3 + 1|+5
    
        = 
|-6 + 1|+5
   
        
|-5|+5  = 5 + 5 = 10

f(-3) = 10    

Answer

This answer is 10.

Explanation

Step by step solution is as follows:

[tex]f ( x) = |2x + 1| +5[/tex]

For x= -3

[tex]f (-3) = |2(-3) + 1| +5[/tex]

[tex]f (-3) = |2. (-3) + 1| +5[/tex]

[tex]f (-3) = |-6 + 1| +5[/tex]

[tex]f (-3) = |-5| +5[/tex]

By applying absolute value

[tex]f (-3) = 5 +5[/tex]

[tex]f (-3) = 10[/tex]

So the answer of given question is 10.