Question #eed89

Question

1076 views around the world

You can reuse this answer
Creative Commons License

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