# What is the domain and range of #f(x)=(2x-1)/(3-x)#?

The value that x cannot be is obtained by equating the denominator to zero and solving the function; otherwise, f(x) would become undefined.

Rearrange f(x) so that x is the subject in order to identify any excluded values in the range.

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The domain is

Thus,

Let's

y-(2x-1)/(3-x))=0 [-58.53, 58.54, -29.26, 29.24]}

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The domain of ( f(x) = \frac{2x - 1}{3 - x} ) is all real numbers except ( x = 3 ), and the range is all real numbers except ( y = -2 ).

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