How do you find the inverse of $f(x) =1/x$ ?

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Answer 1 · 2018-04-04T08:00:31

$f^-1(x) = 1/x$

The function $f(x) = 1/x$ is its own inverse.

Let $f(x) = 1/x = y$

Then

$(f^-1circ f)x = x implies$

$f^-1(f(x)) =x implies$

$f^-1(y) = x = 1/y$

How do you find the inverse of f(x) =1/xf(x) =1/x?