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gtnhenbr [62]
3 years ago
5

Y=∛x -8 inverse of the function

Mathematics
1 answer:
marin [14]3 years ago
4 0

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}

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