Question

Inverse of the function Y = 3x^5 -4

Answer 1

y=(x/3+4/3)^1/5

Explanation:

x=3y^5-4

x+4=3y^5

(x/3+4/3)^1/5=y

Answer 2

The inverse of the function
`y = 3x^5 - 4` is
`y = \sqrt[5]{(x + 4)/(3)}`

How to determine the inverse of the function

From the question, we have the following parameters that can be used in our computation:

`y = 3x^5 - 4`

Swap the variabls x and y

So, we have

`x = 3y^5 - 4`

Add 4 to both sides

This gives

`3y^5 = x + 4`

Divide through by 3

`y^5 = (x + 4)/(3)`

Take the 5th root of both sides

`y = \sqrt[5]{(x + 4)/(3)}`

hence, the inverse of the function is
`y = \sqrt[5]{(x + 4)/(3)}`