Question

f(x) = (11 − x^3)^7 find the inverse of this function PLEASE HELP

Answer 1

switch \(x\) and \(y\)
\[x=(11-y^3)^7\] solve for \(y\)

Answer 2

I did that but I coudnt get why for some reason, my answer is wrong maybe im doing it wrong

Answer 3

take the seventh root
\[\sqrt[7]{x}=11-y^3\]
subract 11
\[\sqrt[7]{x}-11=-y^3\] change the sign
\[11-\sqrt[7]{x}-11=y^3\] take the cubed root
\[\sqrt[3]{11-\sqrt[7]{x}}=y\]

Answer 4

Thats what I got but my homework website is marking it wrong