Question On inverse

J

Jboy

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Sep 4, 2005
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What are the steps taken to find the inverse of: f(x)=x^3-1
 
1) Rename "f(x)" as "y".
2) Solve for "x=".
3) Switch "x" and "y".
4) Rename new "y" as "f<sup>-1</sup>(x)".

Eliz.
 
Ok so that gives me y+1=x^3. How do I get rid of the cubed?
 
If you've got a graphing calculator, set the graphing window to "Zoom Square" and graph f and f<sup>-1</sup>. If they look like mirror images (mirrored across the diagonal line y = x), then this will confirm that you've got the inverse. It's a handy check, if you've got the time, on tests; it's frequently quicker than composing the functions in both directions.

Eliz.
 
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