Solution to series resistance function

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baseball07
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Hi, I cannot solve for the function g(t) (eq. 6) in the attached figure where there are two series resistances. My solution is incomplete. I do not know how to use Vx in this solution, which is needed because it contains h(t) found in the solution.
 

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There are two series resistances, R and Rx which are in series. Vx h(t) is the voltage across the resistor Rx. There is a total V across both series resistors. That is all that is given.
 
You have been given the voltage Vx when Rx is by itself, you need to find which series resistance R will give the desired voltage V.

The problem is testing that you understand how voltage and resistance are related.
So how are they related?

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