Precalculus Examples

$u (x) = - 2 x - 2$ , $w (x) = 2 x^{2} + 2$

Step 1

Set up the composite result function.

$u (w (x))$

Step 2

Evaluate $u (2 x^{2} + 2)$ by substituting in the value of $w$ into $u$ .

$u (2 x^{2} + 2) = - 2 (2 x^{2} + 2) - 2$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$u (2 x^{2} + 2) = - 2 (2 x^{2}) - 2 \cdot 2 - 2$

Step 3.2

Multiply $2$ by $- 2$ .

$u (2 x^{2} + 2) = - 4 x^{2} - 2 \cdot 2 - 2$

Step 3.3

Multiply $- 2$ by $2$ .

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

Step 4

Subtract $2$ from $- 4$ .

$u (2 x^{2} + 2) = - 4 x^{2} - 6$