Precalculus Examples

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

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (x^{2} - 1)$ by substituting in the value of $g$ into $f$ .

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

Step 3

Subtract $3$ from $- 1$ .

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