Precalculus Examples

$f (x) = \sqrt{x - 2}$ , $g (x) = 3 x - 2$ , $(f \circ g)$

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 $f$ .

$f (3 x - 2) = \sqrt{(3 x - 2) - 2}$

Step 3

Subtract $2$ from $- 2$ .

$f (3 x - 2) = \sqrt{3 x - 4}$