Algebra Examples

$g (x) = 3 x + 3$ $h (x) = - 4 x + 1$

Step 1

Set up the composite result function.

$h (g (x))$

Step 2

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

$h (3 x + 3) = - 4 (3 x + 3) + 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$h (3 x + 3) = - 4 (3 x) - 4 \cdot 3 + 1$

Step 3.2

Multiply $3$ by $- 4$ .

$h (3 x + 3) = - 12 x - 4 \cdot 3 + 1$

Step 3.3

Multiply $- 4$ by $3$ .

$h (3 x + 3) = - 12 x - 12 + 1$

Step 4

Add $- 12$ and $1$ .

$h (3 x + 3) = - 12 x - 11$