Question:
$\mathrm{f}(\mathrm{x})=\frac{\mathrm{x}-5}{5-\mathrm{x}}$ then find dom (f) and range (f).
Solution:
Given, $f(x)=\frac{x-5}{5-x}$
(i) dom(f)
Here f(x) is a polynomial function whose domain is R except for points at which denominator becomes zero.
Hence x ≠ 5
The domain is $(-\infty, \infty)-\{5\}$
(ii) range(f)
Let $y=\frac{x-5}{5-x}$
For the specified domain
$y=-1$
Range is $\{-1\}$.
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