Let fx be defined on the positive real numbers as follows St

Let f(x) be defined on the positive real numbers as follows: Start with a number x. Take the square root of the number and add 8 more than the number you started with. Square the result and add 1 more than the original number. Finally, divide the result by 2 more than the square of the original number.

Solution

Start with a number x.

Take the square root of the number = sqrt(x)

and add 8 more than the number you started with= 8 +sqrt(x)

Square the result and add 1 more than the original number = (8 +sqrt(x) )^2 +1

Finally, divide the result by 2 more than the square of the original number =  [ (8 +sqrt(x) )^2 +1]/(x^2 +2)