Final answer:
The domain of the function f(x)=(x+7)/(x-9) is all real numbers except for x=9, as division by zero is undefined.
Step-by-step explanation:
The domain of the function f(x)=(x+7)/(x-9) is all real numbers except for the value where the denominator equals zero. Since division by zero is undefined, the value that makes the denominator zero would not be included in the domain. In this function, setting the denominator x-9 to zero and solving for x gives us x = 9. Therefore, the domain of f(x) is all real numbers except x = 9.The domain of the function f(x)=(x+7)/(x-9) is all real numbers except for x=9. This is because the denominator of the function cannot be equal to zero, as division by zero is undefined. Therefore, we exclude x=9 from the domain.