# Thread: Do you simplify inverse functions?

1. ## Do you simplify inverse functions?

I'm working on an inverse function problem here and I'm not sure which is "more accurate" of an answer.

if $\displaystyle C=g(x)=900+50x$
find $\displaystyle g^-1(C)$

$\displaystyle \frac{C-900}{50}$ or $\displaystyle \frac{C}{50}-18$

edit - sorry for the mess, hit post instead of preview.

2. Originally Posted by ChrisEffinSmith
I'm working on an inverse function problem here and I'm not sure which is "more accurate" of an answer.

if $\displaystyle C=g(x)=900-50x$
find $\displaystyle g^{-1}(C)$

$\displaystyle \frac{C-900}{50}$ or $\displaystyle \frac{C}{50}-18$

edit - sorry for the mess, hit post instead of preview.
these are not correct. you are off by a sign. note that the coefficient of x is negative.

either form of the answer would be acceptable

3. Originally Posted by Jhevon
these are not correct. you are off by a sign. note that the coefficient of x is negative.

either form of the answer would be acceptable
eep! in my haste i copied them wrong. i've edited the originals to their correct notation. sorry.

4. Originally Posted by ChrisEffinSmith
eep! in my haste i copied them wrong. i've edited the originals to their correct notation. sorry.
ok. well, either answer is fine. the function is relatively simple, so worrying about simplifying it to the fullest is not necessary