what is the inverse of y= 4x^3- 3x-1?

Answer 1

function y is not monotonic in x, so its inverse is not defined.

For each value of y in y=[-2,0] there are 3 values of x in the range [-1,1].

Answer 2

Actually, this is just a basic cubic function, so it will pass the vertical line test.

First make it so all the x's are on one side: y+1 = 4x^3-3x

Then you get: y+1 = x(4x^2-3)

To get the inverse just switch X and Y : X+1 = y(4y^2-3)

Now solve for y.

Answer 3

There is no inverse for this function because it fails the horizontal line test. It has a double root at x = -1/2. It is a function and passes the vertical line test. You would have to bound the domain in order to talk about an inverse like the trig graphs.

Answer 4

the 1st step is interchange y and x ensuing in this equation; x = {(3y + a million)/4}^a million/2; Then clean up for y in terms of x sq. the two facets of the equation, x^2 = (3y + a million)/4 Multiply the whole equation via 4 4x^2 = 3y + a million Transposing a million and dividing the equation via 3 will provide us inverse of the equation y = (4x^2 - a million)/3

Answer 5

This function will not pass the vertical line test, and as such it is not well defined for an inverse function.

You can't do it.

-Math Teacher

Answer 6

yeah no inverse

Answer 7

just switch x and y around and solve for y

Answer 8

?1-x3-3x4=y