Question

Sorry to keep asking questions

Answer 1

`\Large \boxed{{f^(-1)(x)=\sqrt[3]{x-5}}}`

Explanation:

The function is given,

`f(x)=x^3 +5`

The inverse of a function reverses the original function.

Replace f(x) with y.

`y=x^3 +5`

Switch variables.

`x=y^3 +5`

Solve for y to find the inverse.

Subtract 5 from both sides.

`x-5=y^3`

Take the cube root of both sides.

`\sqrt[3]{x-5} =y`

Answer 2

y =
`\sqrt[3]{x-5}`

Explanation:

To find the inverse of any function you basically switch x and y.

function = y = x^3 + 5

Now we switch x and y

x = y^3 +5

Solve for y,

x - 5 = y^3

switch sides,

y^3 = x-5

y =
`\sqrt[3]{x-5}`