Find the domain and range of f(x)=|x-1|/x-1

We have,fx = x-1x-1Clearly, fx is defined for all xR except at x = 1Domain of f = R-1Now, fx = x-1x-1 = 1, when x > 1Now, fx = -x-1x-1 = -1, when x < 1Range of f = -1, 1

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What is neant by "The longest wavelength doublet absorption transition " ? Please explain the terms...
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