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 ? ?

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

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.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.