Posted by zach w on Tuesday, November 27, 2012 at 1:54am.
domain of any rational function is all reals except where the denominator is zero.
dom(f) = all reals except x=8
dom(g) = all reals except x=0
If you meant
3e^x-1 = 2+e^(x-1)
3e^x - e^x/e = 2+1
e^x (3-1/e) = 3
e^x = 3/(3-1/e)
x = ln3e - ln(3e-1)
If, however, you meant
3e^(x-1) = 2+e^(x-1)
2e^(x-1) = 2
e^(x-1) = 1
x-1 = 0
x = 1
If something else, then you'd better repost with proper parentheses.
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