Algebra Examples

$f (x) = x^{2} - 4 x + 5$ , $g (x) = x - 3$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (x^{2} - 4 x + 5)$ by substituting in the value of $f$ into $g$ .

$g (x^{2} - 4 x + 5) = (x^{2} - 4 x + 5) - 3$

Step 3

Subtract $3$ from $5$ .

$g (x^{2} - 4 x + 5) = x^{2} - 4 x + 2$