Question

Write an inverse of the function y=2x^7-13x^8-3. Do not solve for y.

I don't get what's being asked to not solve for y ??

Answer 1

... x = 2y^7 -13y^8 -3

Step-by-step explanation:

An inverse relation is one with the independent and dependent variables interchanged.

Having made that interchange (swapping positions of x and y in the equation), you basically cannot solve for y. (There is no formula for the solution of an 8th-degree polynomial.) In any event, this inverse relation is not a function, as there are multiple values of y that correspond to the same value of x.

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Comment on inverse functions

A function and its inverse are mirror images of each other across the line y=x. This can be seen in the attached graph.