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A function is one to one if it's inverse is a function:

To find the inverse we switch x and y and solve for y:

x = 10 - cuberoot(y+5)

cuberoot(y+5) = 10 - x

Cube both sides to get:

y+5 = (10 - x)^3

y = (10 - x)^3 - 5

So, the inverse function f^-1(x) = (10 - x)^3 - 5

You can easily verify that this a function with your graphing calculator

The range of the original function is all real numbers which is also true for the domain of the inverse function.

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