Answer:
The second option: f(x) = -(200/x)
Explanation:
We can see that the input of the function is 20 and the output is -10. For the inverse, these values will swap: -10 will be the input and 20 will be the output.
Given that, we can substitute -10 into each equation and use trial and error to find out which one gives 20 as the output.
The first one, f(x) = -(0.5/x) will give an output of -(0.5/-10) = 1/20, which is incorrect.
The second one, f(x) = -(200/x) will give an output of -(200/-10) = 20, which is correct. Therefore, this must be the inverse. There will only be one inverse, so we don't need to try the rest.