Answer
$F$
Work Step by Step
For these types of problems, we are asked to evaluate composite functions. We will use the inner function and substitute it where we see $x$ in the outer function.
To evaluate $f(g(x))$, we begin by plugging in the function $g(x)$ where we see $x$ in the outer function, $f(x)$:
$f(g(x)) = (x^2 - 3x - 4) + 1$
Add like terms:
$f(g(x)) = x^2 - 3x - 3$
This answer corresponds to option $F$.