Question

Find the non permissible replacement for x in this expression x^2/2x-4

Answer 1

The non-permissible value of x is 2

Explanation:

Domain is the set of allowed values of x in a function. The given function is:

`(x^2)/(2x-4)`

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.

`2x-4=0\\2x=4\\x=(4)/(2)\\x=2`

The non-permissible value of x is 2