Question

What is the inverse of "f"if f(x)=^3 sqrtx-5

Answer 1

y=x−5−−−−√3

x=y−5−−−−√3
 

Answer 2

Assuming that the original equation is
f(x)= $\sqrt[3]{x-5}$

the inverse of f(x) is f(y)

f(x)= $\sqrt[3]{x-5}$
   y=$\sqrt[3]{x-5}$

f₋₁(y)= $\sqrt[3]{y-5}$
   x=$\sqrt[3]{y-5}$
   x³= y-5
   y=x³+5

Thus f₋₁=y=x³+5