Given f(x) = 5x - 2 and g(x) = -8x + 9, find (f - g)(x).

to do this, just subtract the similar terms:

(f-g)(x) = 5x-2 - (-8x+9)
(f-g)(x) = 5x + 8x - 2 - 9
(f-g)(x) = 13x - 11

so there,, :)

To find (f - g)(x), we need to subtract the function g(x) from f(x).

The given functions are:
f(x) = 5x - 2
g(x) = -8x + 9

To subtract g(x) from f(x), we subtract the corresponding terms:

(f - g)(x) = f(x) - g(x)
= (5x - 2) - (-8x + 9)

Now, let's simplify the expression:

(f - g)(x) = 5x - 2 + 8x - 9
= (5x + 8x) + (-2 - 9)
= 13x - 11

Therefore, the expression (f - g)(x) simplifies to 13x - 11.