Question #eed89

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Answer 1 · 2018-02-25T22:00:09

See explanation...

Hello! Alright, to begin this problem, lets go ahead and solve for #y#.

#cancelx+y-cancelx=4-x#

#y=4-x# This also is the same as #f(x)=4-x#

Ok, there are three main steps next. Switch the #x# and #y# variables, then solve for #y#. Finally, put it into inverse notation.

Ok so lets switch the #x# and #y# variables.

#x=4-y#

Solve for #y#

#x-4=4-y-4#

#x-4=-y#

#-x+4=cancel-y/(cancel-1)#

Alright! So the final answer, after we put it into inverse notation, is #f^(-1)(x)=4-x#

Hope that helps!
~Chandler Dowd