1. The problem statement, all variables and given/known data If f(x)=|x-1/2|-5 determine g(x)=2f(-x+(3/2)) 2. Relevant equations 3. The attempt at a solution Well, I tried to factor out the k-value in the g(x) formula. So I was left with: g(x)=2f(-1)(x-3/2) Then I multiply f(x) by 2 and am left with: g(x)=2|x-(1/2)|-10 Then I subtract the 3/2 from 1/2 and am left with -2: g(x)=2|x-2|-10 Then I apply the negative k-value and am left with g(x)=2|-x+2|-10 I checked on desmos, and that answer is wrong. It should be: g(x)=2|-x+1|-10 I've asked friends, looked online, in my textbook, and in my notes for things relating to this, and after 3 hours, came up empty-handed. If anyone could tell me where I went wrong. I would be very grateful. If you could also go step-by-step solving this problem, I would appreciate it. Thanks.