The domain of a function is the set of all possible values for the input variable (x) that will produce a valid output.
In this case, we need to look for any values of x that would make the denominator (11 - x) equal to zero.
If the denominator is zero, the function is undefined. So, we need to find the values of x that would make (11 - x) equal to zero:
11 - x = 0
Solving this equation, we subtract 11 from both sides:
- x = -11
Dividing both sides by -1:
x = 11
Therefore, the function is undefined when x = 11.
Thus, the domain of the function f(x) = (x^2)/(11 - x) is all real numbers except x = 11.