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! :)
1. (F-g)(x) = (2x-5) - 4 = 2x - 5 - 4 =
2x - 9.
2. (F-g)(x) = 4 - (2x-1) = 4 - 2x + 1 =
-2x + 5.
1.) To find (f - g)(x), we need to subtract the function g(x) from f(x).
First, let's find f(x) = 2x - 5 and g(x) = 4.
We can substitute these values into the expression (f - g)(x):
(f - g)(x) = f(x) - g(x)
Substituting f(x) = 2x - 5 and g(x) = 4:
(f - g)(x) = (2x - 5) - 4
Simplifying, we get:
(f - g)(x) = 2x - 5 - 4
(f - g)(x) = 2x - 9
So, (f - g)(x) = 2x - 9.
2.) To find (f - g)(x), we again need to subtract the function g(x) from f(x).
Given f(x) = 4 and g(x) = 2x - 1, we can substitute these values into the expression (f - g)(x):
(f - g)(x) = f(x) - g(x)
Substituting f(x) = 4 and g(x) = 2x - 1:
(f - g)(x) = 4 - (2x - 1)
Simplifying, we get:
(f - g)(x) = 4 - 2x + 1
(f - g)(x) = -2x + 5
So, (f - g)(x) = -2x + 5.