Finite Math Examples

$f (x) = - x + 5$ , $g (x) = 2 x - 1$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

$g (- x + 5) = 2 (- x + 5) - 1$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$g (- x + 5) = 2 (- x) + 2 \cdot 5 - 1$

Step 3.2

Multiply $- 1$ by $2$ .

$g (- x + 5) = - 2 x + 2 \cdot 5 - 1$

Step 3.3

Multiply $2$ by $5$ .

$g (- x + 5) = - 2 x + 10 - 1$

Step 4

Subtract $1$ from $10$ .

$g (- x + 5) = - 2 x + 9$