Algebra Examples

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (4 (3) + 3)$ by substituting in the value of $f$ into $g$ .

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

Step 3

Simplify each term.

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Step 3.1

Raise $3$ to the power of $2$ .

$g (4 (3) + 3) = 9 - 3 \cdot 3 - 5$

Step 3.2

Multiply $- 3$ by $3$ .

$g (4 (3) + 3) = 9 - 9 - 5$

Step 4

Simplify by subtracting numbers.

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Step 4.1

Subtract $9$ from $9$ .

$g (4 (3) + 3) = 0 - 5$

Step 4.2

Subtract $5$ from $0$ .

$g (4 (3) + 3) = - 5$