Inverting a function is equivalent to solve the equation x = f(y) for the variable y.
Take the function:
y = ∛(x – 2) + 6
Switch x and y, and then solve the equation for y:
x = ∛(y – 2) + 6
x – 6 = ∛(y – 2)
∛(y – 2) = x – 6
Cube both sides:
[ ∛(y – 2) ]³ = (x – 6)³
y – 2 = (x – 6)³
y = (x – 6)³ + 2 <——— and there it is, the inverse function.
I hope this helps. =)
