1.) Find (f - g)(x) if f(x) = 2x - 5 and g(x) = 4.

2.) Given f(x) = 4 and g(x) = 2x - 1, find (f - g)(x).

Thanks so much! :)

if f(x) = 2x-5 and g(x) = 4

then
(f-g)(x) = 2x-5 - 4 = 2x - 9

Do #2 in the same way

@ Reiny,

Would #2 be -2x - 3?

How did you get -3 ?

(f-g)(x)
= 4 - (2x-1)
= 4 - 2x + 1
= -2x + 5

To find (f - g)(x), you will need to subtract the functions f(x) and g(x).

1.) For f(x) = 2x - 5 and g(x) = 4:
To find (f - g)(x), we subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x)
Substitute the values of f(x) and g(x) into the equation:
(f - g)(x) = (2x - 5) - 4
Simplify the expression:
(f - g)(x) = 2x - 5 - 4
(f - g)(x) = 2x - 9

2.) For f(x) = 4 and g(x) = 2x - 1:
To find (f - g)(x), we subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x)
Substitute the values of f(x) and g(x) into the equation:
(f - g)(x) = 4 - (2x - 1)
Simplify the expression:
(f - g)(x) = 4 - 2x + 1
(f - g)(x) = 3 - 2x

Therefore, for the given functions:

1.) (f - g)(x) = 2x - 9

2.) (f - g)(x) = 3 - 2x