Question 430629
Solution:Find the inverse function of {{{y=(x-2)^3+1}}}

Solve this equation for x:{{{y-1=(x-2)^3}}}

{{{x-2=(y-1)^(1/3)}}}

{{{x=2+(y-1)^(1/3)}}}, interchange x and y:

{{{y^-1=2+(x-1)^(1/3)}}}, This is the inverse function of {{{(x-2)^3+1}}}

Done.