Question:
The domain and range of the function $f(x)=\frac{2-x}{x-2}$ are _______ and ___________respectively.
Solution:
$f(x)=\frac{2-x}{x-2}$
f(x) is defined for x − 2 ≠ 0
i.e x ≠ 2
∴ Domain of f(x) is R −{2}
Since
$f(x)=-\frac{(x-2)}{x-2}$
f(x) = −1
∴ Range of f(x) is {−1}