Find the Difference of the Two Functions f(x)=6x-5 , g(x)=7x-1

$f (x) = 6 x - 5$ , $g (x) = 7 x - 1$

Step 1

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

$6 x - 5 - (7 x - 1)$

Step 2

Simplify each term.

Apply the distributive property.

$6 x - 5 - (7 x) - - 1$

Multiply $7$ by $- 1$ .

$6 x - 5 - 7 x - - 1$

Multiply $- 1$ by $- 1$ .

$6 x - 5 - 7 x + 1$

Step 3

Simplify by adding terms.

Subtract $7 x$ from $6 x$ .

$- x - 5 + 1$

Add $- 5$ and $1$ .

$- x - 4$