Question

Y=∛x -8 inverse of the function

Answer 1

The inverse function of
`\sqrt{3]{x} - 8` is
`(x+8)^(3)`

Explanation:

Inverse of a function:

To find the inverse of a function
`y = f(x)`, basically, we have to reverse r. We exchange y and x in their positions, and then we have to isolate y.

In your exercise:

`y = \sqrt[3]{x} - 8`

Exchanging x and y, we have:

`x = \sqrt[3]{y} - 8`

`x + 8 = \sqrt[3]{y}`

Now we have to write y in function of x

`(x+8)^(3) = (\sqrt[3]{y})^(3)`

`y = (x+8)^(3)`

So, the inverse function of
`\sqrt{3]{x} - 8` is
`(x+8)^(3)`