Question

Find domain of
$\frac{1}{(x - 1)(x - 2)}$
​

Answer 1

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

$\star \: \: {\sf{ f(x) = \frac{ 1 }{ (x - 1)(x - 2)} }}$

${\bf{\blue{\underline{To\:Find:}}}}$

• Domain=?

${\bf{\blue{\underline{Now:}}}}$

For f to be defined,

$: \implies{\sf{ \frac{1}{(x - 1)(x - 2)} \neq0}}$

$: \implies{\sf{ x \neq1,2 }}$

Now f is defined for real numbers except 1,2

$\dagger \: \: \boxed{\sf{ D_{ f} = R - \{{ 1,2\}} \: }}$

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