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2 years ago

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

Mathematics

2 answers:

kherson [118]2 years ago

6 0

Answer:

The answer is:

y = x/x −2

quester [9]2 years ago

5 0

Answer: $f^{1}=\frac{2x}{x-1}$

Step-by-step explanation:

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

$f(x)=\frac{x}{x-2}$

Interchange the variables

$x=\frac{y}{y-2}$

solve for y, multiply equation by y-2.

$y=\frac{2x}{x-1}\\$

replace y with $f^{1}$ (x)

you get the above answer.

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