Find range
f(x)=|x-4|/x-4

I think the answer goes something like this-
CASE 1: x>0
this implies that |x-4|= x-4
So, f(x)= x-4/x-4
replacing f(x) with y because f(x) is the same thing as y.
y= x-4/x-4
y=1---------(i)
CASE 2: x<0
this implies |x-4| = -x+4
y= -x+4/x-4
y= -(x-4)/x-4
y= -1 -----------(ii)
So, from (i) and (ii) we know that the range aka y= 1 or y= -1
Thumbs up plz!!

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