Let f(x) = twenty-four over the quantity of 3 x minus two. Find f(−2). A. −6 B. −3 C.3 D. 6 and may someone please explain how you got the answer thank you!

Respuesta :

we have that
f(x)=24/(3x-2)

we know that
f(-2) is the value of f(x) for x=-2
f(-2)=24/(3*(-2)-2)------> f(-2)=24/(-6-2)----> f(-2)=24/-8-----> f(-2)=-3

the answer is
f(-2)=-3

Answer: B. -3

Step-by-step explanation:

The given function : [tex]f(x)=\dfrac{24}{3x-2}[/tex]

To find the value of f(-2)

Substitute x =-2 in the above function , we get

[tex]f(-2)=\dfrac{24}{3)-2_-2}\\\\\Rightarrow\ f(-2)=\dfrac{24}{-6-2}\\\\\Rightarrow\ f(-2)=\dfrac{24}{-8}\\\\\Rightarrow\ f(-2)=-3[/tex]

Hence, the value of f(-2)= -3