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Beibei · Answer 1 · 2023-09-02T07:42:44+0000

Given:

The domain of the function is a set of all input values for which the function is real or defined.

$\begin{gathered} \text{The function is not defined when }x^2-4x+3=0 \\ x^2-4x+3=0 \\ x^2-x-3x+3=0 \\ x(x-1)-3(x-1)=0 \\ (x-1)(x-3)=0 \\ \Rightarrow x=1,3 \end{gathered}$

The function is defined for real x except x = 1 ,3.

The domain of the function is x < 1 or 1 < x < 3 or x > 3

$\begin{gathered} x<1\text{ or 1}3 \\ (-\infty\: ,\: 1)\cup(1,\: 3)\cup(3,\: \infty) \end{gathered}$

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