A customer purchases 5M of New York 3% G. O.'s, maturing in 2042 at 90. The interest payment dates are Jan 1st and Jul 1st. The trade took place on Tuesday, Feb 1st. How much will the customer pay for the bonds, excluding commissions and accrued interest?

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .