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

User Phen
by
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1 Answer

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Answer:


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

Explanation:

find the inverse of the function

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables


y = (x)/(x - 2)

becomes


x = (y)/(y - 2)

Now, solve the equation


x = (y)/(y - 2)

for y.


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

User Eric Leung
by
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