Algebra Examples

$f (x) = 2 x$ $g (x) = - 4 x + 5$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (- 4 x + 5)$ by substituting in the value of $g$ into $f$ .

$f (- 4 x + 5) = 2 (- 4 x + 5)$

Step 3

Apply the distributive property.

$f (- 4 x + 5) = 2 (- 4 x) + 2 \cdot 5$

Step 4

Multiply.

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Step 4.1

Multiply $- 4$ by $2$ .

$f (- 4 x + 5) = - 8 x + 2 \cdot 5$

Step 4.2

Multiply $2$ by $5$ .

$f (- 4 x + 5) = - 8 x + 10$