1. ## Generating inverse

Can someone help me find the inverse of $y = 7 + 5x^3 + x^7$? The fact that there is more than one variable to a unique power makes the inverse a little less obvious than usual.

2. ## Re: Generating inverse

What makes you think there exists a closed formula for this inverse function?

3. ## Re: Generating inverse

Originally Posted by otownsend
Can someone help me find the inverse of $y = 7 + 5x^3 + x^7$? The fact that there is more than one variable to a unique power makes the inverse a little less obvious than usual.
Did you look at the PLOT of this function?
Does it have an inverse?

4. ## Re: Generating inverse

ah...that's a fair point you made. What if you restricted the domain to [-1.21, 1.21], then what would be its inverse ?

5. ## Re: Generating inverse

Originally Posted by Plato
Did you look at the PLOT of this function?
Does it have an inverse?
It's entered correctly in the quote box of post # 4, but some
other expression was entered at the link for the graph.

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otownsend, no restrictions have to be made on the domain.
But as romsek's post questioned about it, it does not
have a closed form.

6. ## Re: Generating inverse

Is there more to this problem that you haven't posted, say, finding the value of the derivative of the function's inverse at a specific value?