Answer with Step-by-step explanation:
We have to find the excluded value for expression for:
\(\dfrac{(x-4)^2}{(x-9)^2}\)
for the above expression to be well defined the denominator can't be zero
i.e. (x-9)^2≠0
i.e. x-9≠0
i.e. x≠9
Hence, the excluded value for the expression \(\dfrac{(x-4)^2}{(x-9)^2}\) is:
9