Find f(g(x)) f(x)=3x-1 g(x)=x^2-x-4

$f (x) = 3 x - 1$ $g (x) = x^{2} - x - 4$

Set up the composite result function.

$f (g (x))$

Evaluate $f (x^{2} - x - 4)$ by substituting in the value of $g$ into $f$ .

$f (x^{2} - x - 4) = 3 (x^{2} - x - 4) - 1$

Simplify each term.

Apply the distributive property.

$f (x^{2} - x - 4) = 3 x^{2} + 3 (- x) + 3 \cdot - 4 - 1$

Simplify.

Multiply $- 1$ by $3$ .

$f (x^{2} - x - 4) = 3 x^{2} - 3 x + 3 \cdot - 4 - 1$

Multiply $3$ by $- 4$ .

$f (x^{2} - x - 4) = 3 x^{2} - 3 x - 12 - 1$

Subtract $1$ from $- 12$ .

$f (x^{2} - x - 4) = 3 x^{2} - 3 x - 13$