Question

Given the function f(x) = -1/2x + 2/3x^3, then what is – 2f(x) as a simplified polynomial?

Answer 1

Answer:  $-2f(x) = -\frac{4}{3}x^3 + x$

Explanation:

We multiply both sides of the given equation by -2 to find that,

$f(x) = -\frac{1}{2}x + \frac{2}{3}x^3\\\\-2*f(x) = -2*\left(-\frac{1}{2}x + \frac{2}{3}x^3\right)\\\\-2*f(x) = -2*\left(-\frac{1}{2}x\right) - 2*\left(\frac{2}{3}x^3\right)\\\\-2f(x) = x-\frac{4}{3}x^3\\\\-2f(x) = -\frac{4}{3}x^3 + x$