The problem says; find and verify the inverse function of f(x)=2x^3 - 4

I'm stuck on what to do first (Headbang) Any help would be appreciated!

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- May 7th 2008, 06:00 PMromanianxromoInverse function
The problem says; find and verify the inverse function of f(x)=2x^3 - 4

I'm stuck on what to do first (Headbang) Any help would be appreciated! - May 7th 2008, 07:46 PMo_O
Let . Then switch the positions of x and f(x) and change f(x) to y (since doing this switch changes f(x)).

Solve for y (i.e. ) in terms of x - May 7th 2008, 07:47 PMarbolisQuote:

find and verify the inverse function of f(x)=2x^3 - 4

The idea to find the inverse function of f, that is , is to get x in terms of y. Let , then we have . Add 4 in each sides of the equation, we get . Divide by 2 now, you get . Now take the 3rd root in each sides. You get finally that , or .

To verify it, just replace the x you had in your first equation by and if you find that it's equal to y, that means you did it.