Answer:
The non-permissible value of x is 2
Step-by-step explanation:
Domain is the set of allowed values of x in a function. The given function is:
[tex]\frac{x^2}{2x-4}[/tex]
When we have a rational function (fractional), we have to EXCLUDE a value from the domain which makes the denominator of the fraction 0.
SO, when we want to find the non-permissible replacement for x, we find the singularity point of x, we set denominator equal to 0 and find the value of x.
[tex]2x-4=0\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
The non-permissible value of x is 2
