Step 1: Evaluate the inner function $g(x)$ at $x = -1$. The function $g(x)$ is given by $g(x) = 3x - 1$. Substitute $x = -1$ into $g(x)$: $$g(-1) = 3(-1) - 1$$ $$g(-1) = -3 - 1$$ $$g(-1) = -4$$ Step 2: Evaluate the outer function $f(x)$ at the result from Step 1, which is $f(-4)$. The function $f(x)$ is given by $f(x) = x^2 + 2$. Substitute $x = -4$ into $f(x)$: $$f(-4) = (-4)^2 + 2$$ $$f(-4) = 16 + 2$$ $$f(-4) = 18$$ The value of $fg(-1)$ is $18$. The correct option is B. $$\boxed{\text{B}}$$