The goal of this function is to get a positive value under the square root sign so that the value would not be invalid. Evaluating F(3,1), the value is 1 + <span>sqrt(4-1^2) or equal to 1 + sqrt of 3.</span> In this case, the domain would be x equal to any numbers and the range equal to numbers from -2 ≤ y ≤ 2.
Let x = # of original members Cost per person (originally) = 832/x Cost per person after 6 more people = 832/(x+6) Solve 832/x=832/(x+6) +6 (because the cost was reduced by 6 Solve for x. x = 26 or -32 (but x is number of members, so it can't be negative) # of original members is 26. Original cost is 832/26 = $32 per person.