Question

The domain and range of the function $f\left(x\right)=\frac{2-x}{x-2}$ are _________ and _________ respectively.

Answer 1

$f\left(x\right)=\frac{2-x}{x-2}$
f(x) is defined for x − 2 ≠ 0
i.e x ≠ 2
∴ Domain of f(x) is R −{2}
Since
f(x) = – $\frac{\left(x-2\right)}{x-2}$
f(x) = −1
∴ Range of f(x) is {−1}