Question

Find the inverse of the function, f(x) = ( x−2)³ − 3.

Please show all work in finding the inverse.

Answer 1

f(x)^-1=
`\sqrt[3]{x+3}`+2

Step-by-step explanation:

f(x) = ( x−2)³ − 3

y=( x−2)³ − 3

y+3= ( x−2)³

`\sqrt[3]{y+3}`=x-2

x=
`\sqrt[3]{y+3}`+2

f(x)^-1=
`\sqrt[3]{x+3}`+2