how do you find the inverse function of x^3+x=y?

Question

What is the inverse?

Answer 1

Well, in this case, I would describe the inverse parametrically:

x = t^3 + t
y = t

Note that this is basically the same thing as saying x = y^3 + y, but parameters give a kind of freedom that functions don't give. In other words, with parameters, neither the x nor y coordinates of the graph are dependent on each other, as is the case with making y dependent on x. Instead, the x and y coordinates of the graph are dependent on a third variable t. If you play around with parameters, you will see that many more curves can be described parametrically and fewer curves can be described with a mere function.

Answer 2

First you need to make sure there is no adverse reaction to any of the functions dealing with anything inverse. Then reverse the formula so it agrees with the latest discovery of mathematical chaos theory.

Answer 3

swap the x's and y's i.e.

it was
x^3+x=y

it's now
y^3+y=x

solve for y in order to get your new equation.

Answer 4

like this:

post edit:ok, i was beat to the punch, the first answer was right