SOLUTION: Given that f(x)=(-2)/x for x<0, find f^(-1)(x). How do you find this inverse?

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Question 1058701: Given that f(x)=(-2)/x for x<0, find f^(-1)(x).
How do you find this inverse?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-2%2Fx, domain excludes x=0.

I(x) can be the inverse of f(x).
I%28f%28x%29%29=f%28I%28x%29%29

f%28I%28x%29%29=-2%2FI%28x%29=x
-I%28x%29%2F2=1%2Fx
I%28x%29=-2%281%2Fx%29
I%28x%29=-2%2Fx------again, domain x%3C%3E0.

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Given that f(x)=(-2)/x for x<0, find f^(-1)(x).
How do you find this inverse?
highlight_green%28f%5E-+1%28x%29+=+-+2%2Fx%29