Question

(ignore the answer i selected i accidentally clicked it) Pleez help

Answer 1

Okay, here we have this:

We need to find the inverse of the following function:

`f\mleft(x\mright)=\mleft((x^5)/(7)\mright)^{(1)/(7)}-1`

First we will replace x with y:

`x=\mleft((y^5)/(7)\mright)^{(1)/(7)}-1`

Now, let's clear y:

`\begin{gathered} \mleft((y^5)/(7)\mright)^{(1)/(7)}-1=x \\ \mleft((y^5)/(7)\mright)^{(1)/(7)}=x+1 \\ (y^5)/(7)=(x+1)^7 \\ y^5=7(x+1)^7 \\ y=\sqrt[5]{7(x+1)^7} \end{gathered}`

Finally we obtain that the correct answer is the second option.