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

The denominator of y cannot be zero as this would make y undefined.

To find any excluded value in the range, rearrange making x the subject.

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The domain of the function ( y = \frac{3(x-2)}{x} ) is all real numbers except ( x = 0 ) because division by zero is undefined.

To find the range, we can analyze the behavior of the function as ( x ) approaches positive and negative infinity. As ( x ) approaches positive or negative infinity, ( y ) approaches 3. Therefore, the range of the function is all real numbers except ( y = 3 ).

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