2. Given:
[tex]\frac{3}{x-3}=\frac{x}{x-3}-\frac{x}{4}[/tex]
To find- the values of x that are not included in the domain of the given equation.
Explanation:
We know that the domain of an equation includes all the values of x except for which the denominator is zero.
So, we have to find those values of x for which the denominator is zero.
The denominator of 3/x-3 is (x-3).
So, the factor of the denominator is (x-3).
To find the value of x, equate the factor equal to zero. So, we have:
[tex]\begin{gathered} x-3=0 \\ \Rightarrow x=3 \end{gathered}[/tex]
Final answer: The value of x is 3 which is not included in the domain of the given equation.
