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