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

If f(x) = -3x - 5 and g(x) = 4x - 2 then (f - g)(x) = -7x - 3

Solution:

We need to determine the value of (f - g)(x)

Given that the function is f(x) = -3x - 5 and the other function is g(x) = 4x - 2

The value of (f - g)(x) can be found by as follows:

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

On substituting the given value of f(x) and g(x) we get

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

Upon solving we get

(f - g)(x) = -3x -5 -4x + 2 = -7x -3

Hence the value of (f - g)(x) is equal to -7x - 3