Find the Difference of the Two Functions f(x)=x+6 , g(x)=x-6

$f (x) = x + 6$ , $g (x) = x - 6$

Step 1

Replace the function designators with the actual functions in $f (x) - g x$ .

$x + 6 - (x - 6)$

Step 2

Simplify each term.

Apply the distributive property.

$x + 6 - x - - 6$

Multiply $- 1$ by $- 6$ .

$x + 6 - x + 6$

Step 3

Simplify by adding terms.

Combine the opposite terms in $x + 6 - x + 6$ .

Subtract $x$ from $x$ .

$0 + 6 + 6$

Add $0$ and $6$ .

$6 + 6$

Add $6$ and $6$ .

$12$