let f(x)=24/3x-2. find f(-2)
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
\(f(x)=\frac{24}{3x-2}\)
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).
\(f(-2)=\frac{24}{3(-2)-2}\)
\(f(-2)=\frac{24}{-6-2}\)
\(f(-2)=\frac{24}{-8}\)
Cancel out common factors.
\(f(-2)=-3\)
Therefore the value of f(-2) is -3.