6. customers at the palace pro shop receive a 20% discount if they are members. all customers

must pay 7% in sales tax. the function f(x) = 0.8x is used to determine the price of an item after the

20% member discount, wherex is the regular price of the item. the function g(x) = 107x is used to

determine the total amount customers pay for a purchase after all discounts are applied. which

function can be used to determine t(x), the total amount a member pays for an item with a regular

price of x dollars?

Total amount for an item would be 85.6x.

Step-by-step explanation:

Since we have given that

Rate of discount = 205

Rate of sales tax = 7%

Function f(x) is used to determine the price of an item after the 20% member discount is given by

Function g(x) is used to determine the total amount customers pay for a purchase after all discounts are applied which is given by

we will use composite function gof(x) to find the total amount a member pays for an item with a regular price of x dollars.

Hence, total amount for an item would be 85.6x.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.