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What is the inverse function of f(x) = x/x-2

User Teroi
by
7.7k points

2 Answers

1 vote

Answer:

The answer is:

y = x/x −2

What is the inverse function of f(x) = x/x-2-example-1
User Elad Katz
by
7.6k points
3 votes

Answer:
f^(1)=(2x)/(x-1)

Explanation:

Write f(x) =x/x-2 as an equation


f(x)=(x)/(x-2)

Interchange the variables


x=(y)/(y-2)

solve for y, multiply equation by y-2.


y=(2x)/(x-1)\\

replace y with
f^(1)(x)

you get the above answer.

User Andrew Van Slaars
by
7.8k points

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