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

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

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Answer 1 · 2018-01-12T15:27:09

See below.

Explanation:

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

$y = - x$ $y=-x$

Multiply by $= 1$ $=1$

$x = - y$ $x=-y$

Substitute:

$x = y$ $x=y$

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

The function is its own inverse.

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

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

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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