Precalculus Examples

$f (x) = \frac{1}{x - 1}$ , $g (x) = x^{2} - 1$ , $(f \circ g)$

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 $f$ .

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

Step 3

Subtract $1$ from $- 1$ .

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