Let A=Z/{0}the set of all non zero integers and f:A》R (the set of all real numbers)be defined by g (x)=|x|/x,X element A.Find the range and type of the function. Is it one-to-one function?
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g(x)=|x|-x
domain=R
range=[0,£)
now,
x1,x2€z-{0}
|x1|-x1=|x2|-x2
|x1|=|x2|
x1=x2
g is one-one function
domain=R
range=[0,£)
now,
x1,x2€z-{0}
|x1|-x1=|x2|-x2
|x1|=|x2|
x1=x2
g is one-one function
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