How do you find the inverse of $y= -x$ and is it a function?

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Answer 1 · 2018-01-12T15:27:09

See below.

For the inverse of a function we have to express $x$ as a function of $y$ :

$y=-x$

Multiply by $=1$

$x=-y$

Substitute:

$x=y$

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

The function is its own inverse.

Since the inverse of a function is the reflection of the function in the line $y=x$ , and $y=-x$ is perpendicular to $y=x$ , it is its own inverse.

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How do you find the inverse of y= -xy= -x and is it a function?