Y=∛x -8 inverse of the function

Question

asked Oct 12, 2020 151k views

1 Answer

Dyana · Answer 1 · 2020-10-17T01:06:05+0000

Answer:

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)