Algebra Examples

$f (x) = x^{2} + 3$ ; $g (x) = 6 x$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (x^{2} + 3) = 6 (x^{2} + 3)$

Step 3

Apply the distributive property.

$g (x^{2} + 3) = 6 x^{2} + 6 \cdot 3$

Step 4

Multiply $6$ by $3$ .

$g (x^{2} + 3) = 6 x^{2} + 18$