Yvaries inversely with x. when x = 3 then y = 5. write a function to represent this relationship.

The function to represent this relationship will be:  

Step-by-step explanation:

 varies inversely with  . That means......

where is a proportional constant.

Given that, when , then

Plugging these values into the above equation, we will get.....

Now plugging this into equation (1).....

So, the function to represent this relationship will be:  

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: