In a rational expression , the denominator should not be zero. SO we need to find those values for x which makes the denominator 0 . And we need to exclude those values from the domain .
[tex] x^2 -8x+16=0 => (x-4)^2=0=>x=4 [/tex]
So when x =4, denominator becomes zero, so x=4 is not a part of the domain . Therefore the required domain is
[tex] (- \infty,4)U(4,\infty) [/tex]
Domain is defined as the values of input for which output is defined.
In a rational expression we must not have denominator as 0
so let us equate denominator=0 and find the restriction on domain by finding x
x²-8x+16=0
x²-8x+4²=0
(x-4)²=0
x=4
so domain is all real numbers except x=4
