Answer:
6x^3 - 2x - 6.
Explanation:
To find (f-g)(x), we need to subtract g(x) from f(x) for each value of x.
So, we start by finding f(x) and g(x):
f(x) = 6x^3 - 4
g(x) = 2x + 2
Now, we can substitute these expressions into the expression for (f-g)(x):
(f-g)(x) = f(x) - g(x)
Substituting the expressions for f(x) and g(x), we get:
(f-g)(x) = (6x^3 - 4) - (2x + 2)
Simplifying this expression, we get:
(f-g)(x) = 6x^3 - 2x - 6
Therefore, (f-g)(x) = 6x^3 - 2x - 6.