Algebra Examples

$g (x) = - 8 x$ $h (x) = 2 x + 3$

Step 1

Set up the composite result function.

$g (h (x))$

Step 2

Evaluate $g (2 x + 3)$ by substituting in the value of $h$ into $g$ .

$g (2 x + 3) = - 8 (2 x + 3)$

Step 3

Apply the distributive property.

$g (2 x + 3) = - 8 (2 x) - 8 \cdot 3$

Step 4

Multiply.

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Step 4.1

Multiply $2$ by $- 8$ .

$g (2 x + 3) = - 16 x - 8 \cdot 3$

Step 4.2

Multiply $- 8$ by $3$ .

$g (2 x + 3) = - 16 x - 24$