SOLUTION: I need help finding the domain and range of the equation g(x)= 2/x-1

Question 710855: I need help finding the domain and range of the equation g(x)= 2/x-1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I need help finding the domain and range of the equation g(x)= 2/x-1
**
To find the domain, set the denominator=0, then solve for the x-values which makes the function undefined.
x-1=0
x≠1
domain: (-∞,1) U (1,∞)
..
To find the range, solve for x in terms of y, then examine the y-values to determine the range.
y=2/(x+1)
y(x+1)=2
yx+y=2
yx=2-y
x=(2-y)/y
range: y≠0 or (-∞,0) U (0,∞)

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