Find the domain and range of each of the following real valued function: `f(x)=(x-2)/(2-x)` .

Explanation

Since, f(x) is defined for all real values of x, except for the case when `2 – x = 0` or `x = 2.`


Domain `(f) = R – {2} `


Now, we have,


`f (x) = (x - 2)/(2 - x) `

`f (x) = -(2 - x)/(2 - x) = –1`

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