f(x)=^3 sqrt x-4 would be a bit clearer if you'd write it as f(x)=^3 sqrt(x-4) (that is, unless you really did mean f(x)=^3 sqrt(x) - 4 ).
1) replace "f(x)" with y: f(x)=^3 sqrt(x-4) => y=^3 sqrt(x-4)
2) interchange x and y: x =
I stopped here after noticing your "^3". "^3" cannot stand alone, as "^3" indicates exponentiation with power 3. Did you mean x^3 or something else?
Please respond with clarification. If you can, I'll try to help you finish this problem.