Let $f$ be a function such that $$ \sqrt {x - \sqrt { x + f(x) } } = f(x) , $$for $x > 1$. in that domain, $f(x)$ has the form $\frac{a+\sqrt{cx+d}}{b},$ where $a, b,c, d$ are integers and $a, b$ are relatively prime. find $a+b+c+d.$

(programming exercise 3-10). a retail company must file a monthly sales tax report listing the total sales for the month, and the amount of state and county sales tax collected. the state sales tax rate is 4 percent and the county sales tax rate is 2 percent. design a modular program that asks the user to enter the total sales for the month. from this figure, the application should calculate and display the following: - the amount of county sales tax - the amount of states sales tax - the total sales tax (county plus state) some of the code has already been provided below. complete the missing code below. // global constants for tax calculations constant real county_tax_rate = .02 constant real state_tax_rate = .04 // main module module main() // local variables declare real monthsales, countytax, statetax // get month sales display “enter monthly sales: ” input monthsales // write the statement to calculate county tax // write the statement to calculate state tax // display tax amount call showtaxes(monthsales, countytax, statetax) end module // the showtaxes module accepts monthsales, countytax, statetax // as arguments and displays the resulting data // write the showtaxes module