Question

Y=∛x -8 inverse of the function

Answer 1

Answer:

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

Step-by-step 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 $(x+8)^{3}$