Precalculus Examples

If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $f (g (x))$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (3 x + 2)$ by substituting in the value of $g$ into $f$ .

$f (3 x + 2) = \frac{1}{3 x + 2}$