SOLUTION: I'm having difficulty in confirming whether or not these two functions are inverses (book says they are). The original function is 1/(x-3), and the inverse is (1-3x)/x. I need to

Question 1077927: I'm having difficulty in confirming whether or not these two functions are inverses (book says they are). The original function is 1/(x-3), and the inverse is (1-3x)/x. I need to prove that the two are inverses with the (f of (F inverse (x)) method. The first one, (F(F inverse (X)) = x, but the second one doesn't no matter what I do.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=1/(x-3)
x=1/(y-3)
y-3=1/x
y=(1/x)+3
y=(1+3x)/x, which is different from yours.
1/[(1+3x+3x)/x] it fof^-1, and that is 1/(1/x)=x

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