are the functions inverses of each other?

Me_self

New member
Joined
Jan 17, 2009
Messages
6
1.determine if the function y=2x+8 and y=8-1/2x are inverses of each other...

thx in advance..
 
If they are inverses when you compose f(finv) you will get x

AND if you compose finv(f) you will also get x.

IE: call y=2x+8 and yinv=8-0.5x

so y(yinv) = 2(8-0.5x)+8
=16-x+8
= 24-x

Thus, since that composition is not equal to x they are not inverses. However, if it was equal to x you still need to check yinv(y) to see if it equals x.

If they both equal x then, the functions are inverses. If even one of them fails to equal x, then they are not inverses.
 
Top