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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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