Find the Difference of the Two Functions f(x)=3x-4 , g(x)=9x-6

$f (x) = 3 x - 4$ , $g (x) = 9 x - 6$

Step 1

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

$3 x - 4 - (9 x - 6)$

Step 2

Simplify each term.

Apply the distributive property.

$3 x - 4 - (9 x) - - 6$

Multiply $9$ by $- 1$ .

$3 x - 4 - 9 x - - 6$

Multiply $- 1$ by $- 6$ .

$3 x - 4 - 9 x + 6$

Step 3

Simplify by adding terms.

Subtract $9 x$ from $3 x$ .

$- 6 x - 4 + 6$

Add $- 4$ and $6$ .

$- 6 x + 2$