We are given two functions:

$f(x) = x^2 + 1$ $g(x) = x - 4$

The problem asks to evaluate $(f/g)(-1) - g(3)$, where $f/g$ represents the division of the functions $f(x)$ and $g(x)$ together.

Step 1: Calculate $(f/g)(x)$

We divide the two functions: $\frac{f(x)}{g(x)} = \frac{x^2 + 1}{x - 4}$

Step 2: Evaluate $(f/g)(-1)$

Substitute $x = -1$ into the expression $\frac{f(x)}{g(x)}$:

$f(-1) = (-1)^2 + 1 = 1 + 1 = 2$ $g(-1) = -1 - 4 = -5$

Thus, [ (f/g)(-1) = \frac{2}{-5} = -\frac{2}{5} \