Algebra Examples

$f (x) = x - 6$ , $g (x) = \sqrt{x + 5}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x - 6)$ by substituting in the value of $f$ into $g$ .

$g (x - 6) = \sqrt{(x - 6) + 5}$

Step 3

Add $- 6$ and $5$ .

$g (x - 6) = \sqrt{x - 1}$