Trigonometry Examples

$f (x) = - x$ , $g (x) = 2 x - 4$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x - 4)$ by substituting in the value of $g$ into $f$ .

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

Step 3

Apply the distributive property.

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

Step 4

Multiply.

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Step 4.1

Multiply $2$ by $- 1$ .

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

Step 4.2

Multiply $- 1$ by $- 4$ .

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