Answer:
[tex]f(-2)=-3[/tex]
Step-by-step explanation:
The function given to us is:
[tex]f(x)=\frac{24}{3x-2}[/tex]
We want to find [tex]f(-2)[/tex].
We just have to substitute [tex]x=-2[/tex] into the given function to obtain;
[tex]f(-2)=\frac{24}{3(-2)-2}[/tex]
We multiply out in the denomerator to obtain;
[tex]f(-2)=\frac{24}{-6-2}[/tex]
We simplify in the denominator to obtain;
[tex]f(-2)=\frac{24}{-8}[/tex]
[tex]\Rightarrow f(-2)=\frac{3\times 8}{-8}[/tex]
Cancel the common factors to obtain;
[tex]\Rightarrow f(-2)=-3[/tex]
