Final answer:
The domain of the function includes all real numbers except x = -11/14
Step-by-step explanation:
The domain of a function represents the set of all possible input values (x) that the function can accept. In this case, the function f(x) = (x)/(14x+11) has some restrictions on the permissible values of x.
The only value that should be excluded from the domain is the one that would make the denominator, 14x+11, equal to zero. To find the excluded value, we set the denominator equal to zero and solve for x:
14x+11 = 0
14x = -11
x = -11/14
So, the domain of f(x) includes all real numbers except x = -11/14.
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