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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