Question

What is the inverse of the function fx=19/x3

Answer 1

`f(x) = (19)/(x^3)`

Set f(x) = y and solve for x:

`y = (19)/(x^3)`

`(19)/(y) = x^3`

`x = \sqrt[3]{(19)/(y) }`

Now, switch the x and y:

`y = \sqrt[3]{(19)/(x) }`

Now, write it in the correct notation, and your answer is:

`f^(-1)(x) = \sqrt[3]{(19)/(x) }`

Hope I could help!