Question

What is the inverse of f(x)=4−x−−−−−√3−2?

f−1(x)=4−(x+2)3

f−1(x)=x3+2

f−1(x)=4+(x−2)3

f−1(x)=(x+2)3−4

Answer 1

If you meant f(x) = 4-∛(x-2) then
f^{^-1}(x) = (4-x)^3 + 2

If not, then maybe you can write it more clearly.
Just use cbroot(exp) for the cube root of (exp)