How do you find the inverse of # x - 2y = 5# and is it a function?

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Answer 1 · 2018-04-07T15:51:59

#color(blue)(f^-1(x)=2x+5)#

#x-2y=5#

#y=1/2x-5/2#

To find the inverse of this we express #x# as a function of #y#:

#x-2y=5#

#x=2y+5#

Substituting:

#y=x#

#y=2x+5#

#color(blue)(f^-1(x)=2x+5)#

Yes this is a function.

For every input there is only one output.

The inverse of a function is always the function reflected in the line #y=x#

The graph below illustrates this:

enter image source here