I picked 2 for X and i came out at choice B.
If X=2
f(x)=x-1/x, since we picked smart-number 2 for X f(2)= 2-1/2= 1,5
The question asks which of the following equals f(1/x), since we picked smart number 2 for X, then the questions becomes which of the following equals f(1/2)?
First we need to solve f(1/2)= 1/2 -1/1/2 = 1/2-2= -1,5 (Info:1/1/2=2)
The question now is which of the following choices gives us -1,5 or -3/2 if we plugg in 2 for X.
Choice B does exact that, and here is how.
B= f(-x), since we picked smart number 2 for X, choice B becomes f(-2)
f(-2)= -2-1/-2 (dubble negative becomes positive +), thus it becomes -2 + 1/2= -1,5 or -3/2.
choice B!