If f (x) = - 3x-5 and g (x) = 4x-2, find (f-g) (x)

f (x) - g (x) = - 3x-5 - (4x-2)

distribute

-3x-5 - 4x+2

combine like terms

-7x-3

Answer:

-7x-3

Answer is (f - g) (x) = - 7x - 3

Step-by-step explanation:

We have:

f (x) = - 3x - 5

g (x) = 4x - 2

We need to find: (f - g) (x)

So, we can write:

(f - g) (x) = f (x) - g (x)

= (-3x - 5) - (4x - 2)

= - 3x - 5 - 4x + 2

= - 3x - 4x - 5 + 2

(f - g) (x) = - 7x - 3

So we get (f - g) (x) = - 7x - 3