To find the value of (g∘f)(−2), we need to first evaluate the function f(-2) and then substitute that result into the function g.
Given f(x) = -3x + 1, we can find f(-2) by substituting -2 for x:
f(-2) = -3(-2) + 1
= 6 + 1
= 7
Now, we substitute the value of f(-2) into the function g(x) = -3/x + 1:
(g∘f)(-2) = g(f(-2))
= g(7)
Given g(x) = -3/x + 1, we substitute 7 for x:
(g∘f)(-2) = -3/7 + 1
Simplifying the expression:
(g∘f)(-2) = (1 - 3/7)
= (7/7 - 3/7)
= 4/7
Therefore, (g∘f)(-2) = 4/7.