Final answer:
There is no value of x that isn't included in the domain of the linear function f(x)=1/5x-40; the domain includes all real numbers. For a range output of 1/100, the corresponding domain input is x=200.05.
Step-by-step explanation:
To determine the value that is not in the domain of the function f(x)=\frac{1}{5}x-40, we need to inspect the equation for any restrictions. A function of this form, which is a linear equation, usually doesn't have any inherent domain restrictions unless specifically mentioned. Therefore, if there is no mention of division by zero or a square root of a negative number, we would typically say that the domain includes all real numbers. The function provided does not have such restrictions, so based on the equation alone, there is no value of x that isn't included in the domain.
Now, to find the domain input that corresponds to the range output of \frac{1}{100}, we solve the equation for x:
f(x)=\frac{1}{100} \Rightarrow \frac{1}{5}x-40
= \frac{1}{100}
Simplifying, we find:
\(\frac{1}{5}x = \frac{1}{100} + 40\)
\(x= (\frac{1}{100} + 40) \times 5\)
\(x= \frac{1}{20} + 200\)
\(x= 200.05\)
Therefore, when f(x) is \frac{1}{100}, the corresponding domain input is x=200.05.