Algebra Examples

$a (x) = 4 x + 9$ , $b (x) = 3 x - 5$

Step 1

Set up the composite result function.

$a (b (x))$

Step 2

Evaluate $a (3 x - 5)$ by substituting in the value of $b$ into $a$ .

$a (3 x - 5) = 4 (3 x - 5) + 9$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

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

Step 3.2

Multiply $3$ by $4$ .

$a (3 x - 5) = 12 x + 4 \cdot - 5 + 9$

Step 3.3

Multiply $4$ by $- 5$ .

$a (3 x - 5) = 12 x - 20 + 9$

Step 4

Add $- 20$ and $9$ .

$a (3 x - 5) = 12 x - 11$