Answer
$\frac{f(x)}{g(x)}$ will be positive also for every x, as we divide two positive numbers at each x.
Therefore the new function will be positive for every x.
Work Step by Step
For every $x$, the value of $\frac{f}{g}$ will be equal to $\frac{f(x)}{g(x)}$.
Given the inequality between these functions, we can see that:
$f(x)\gt g(x)\gt 0$ for every x.
$\frac{f(x)}{g(x)}$ will be positive also for every x, as we divide two positive numbers at each x.
Therefore the new function will be positive for every x.
