SOLUTION: I am trying to work a problem, but I am not even sure I understand the problem, and am unsure of how to go about it: If the function g is defined for all nonzero numbers y by g(

Algebra ->  Equations -> SOLUTION: I am trying to work a problem, but I am not even sure I understand the problem, and am unsure of how to go about it: If the function g is defined for all nonzero numbers y by g(      Log On


   

Question 118379: I am trying to work a problem, but I am not even sure I understand the problem, and am unsure of how to go about it:
If the function g is defined for all nonzero numbers y by g(y)=y/|y|, what is the value of g(2)-g(-200)?
The answer is supposed to be 2.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since g%28y%29=y%2Fabs%28y%29, this means g%282%29-g%28-200%29 is:

2%2Fabs%282%29-%28-200%29%2Fabs%28-200%29 note: just replace the first pair of "y"s with 2 and the second pair of "y"s with -200


2%2F2-%28-200%29%2F200 Evaluate the absolute value of 2 to get 2. Evaluate the absolute value of -200 to get 200.


1-%28-1%29 Divide 2%2F2 to get 1. Divide -200%2F200 to get -1.


1%2B1 Rewrite 1-%28-1%29 as 1+1.

2 Add

So g%282%29-g%28-200%29=2