Respuesta :

Would take f(x) = 24/3x -2  to  mean:   (24/3x) - 2

f(x) =  24/(3x) - 2

f(-2) = 24/(3*-2) - 2

       =  24/-6      - 2

       = -4 - 2 = -6

f(-2) = -6 

Answer:

The value of f(-2) is -3.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{24}{3x-2}[/tex]

We have to find the value of f(-2). It means we have to find the value of function at x=-2.

Substitute x=-2 in the given function, to find the value of f(-2).

[tex]f(-2)=\frac{24}{3(-2)-2}[/tex]

[tex]f(-2)=\frac{24}{-6-2}[/tex]

[tex]f(-2)=\frac{24}{-8}[/tex]

Cancel out common factors.

[tex]f(-2)=-3[/tex]

Therefore the value of f(-2) is -3.