Question

What is the inverse of the function f(x)=19/x^3 help sovle

Answer 1

The inverse of this function would be
`f(x) = \sqrt[3]{(19)/(x)}`

In order to find any inverse function, you must start by switching the x and f(x). After you've done that, you must solve for the new f(x). The result will be your inverse function. The work for this one is below.

f(x) =
`(19)/(x^(3))` ----> Switch the x and f(x)

x =
`(19)/(f(x)^(3))` ----> Cross multiply.

`f(x)^(3)` =
`(19)/(x)` ----> Take the cube root of both sides

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