Answer: [tex]-2f(x) = -\frac{4}{3}x^3 + x\\\\[/tex]
Explanation:
We multiply both sides of the given equation by -2 to find that,
[tex]f(x) = -\frac{1}{2}x + \frac{2}{3}x^3\\\\-2*f(x) = -2*\left(-\frac{1}{2}x + \frac{2}{3}x^3\right)\\\\-2*f(x) = -2*\left(-\frac{1}{2}x\right) - 2*\left(\frac{2}{3}x^3\right)\\\\-2f(x) = x-\frac{4}{3}x^3\\\\-2f(x) = -\frac{4}{3}x^3 + x\\\\[/tex]
