Question

Find the inverse y = (x - 2)³ +6
Ox-6+2=y
Ox-6+2=y
Ox-6+2=y

Answer 1

y = [∛(x-6)] - 2

Explanation:

To find the inverse :

1. Solve for x
2. Swap x and y

Solve for x using balancing method or solve and ping method:

y= (x-2)³+6

y - 6 = (x+2)³

∛(y-6) = x+2

[∛(y-6)] - 2 = x

x = [∛(y-6)] - 2

Swap x and y :

y = [∛(x-6)] - 2

This is the inverse of y = (x - 2)³ +6

Hope this helped and have a good day