4. (6 points) Suppose that the function y = 3(1) = 1+ 2arctan(2r3) measures the amount money.r (in thousands of dollars) that a person has in their bank account at time t 2 U , where I is the number of weeks since January 131,211"). (a) Determine the formula for the function 340') . (b) What is the domain and range of g" '? (c) Find the value of 3(1) and explain its meaning in the context of the situation. (6) Is there a limit to the maximum amount of money that this person obtains in there bank account? Explain