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Justnice's avatar

What's the inverse function of y=1/x^3?

Asked by Justnice (923points) February 13th, 2011
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I know that the inverse function of y=1/x is the same as itself. These two graphs look about the same so is the inverse of 1/x^3 the same also?

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Mariah's avatar

It sounds like you use a graphical approach to find inverse functions. That is, you take the graph of the function and flip it over the diagonal line formed by the line y = x.

Try this algebraic method: First, switch the x and the y in the equation. Then solve for your new y.

Mariah (25883points)“Great Answer” (1points)
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roundsquare's avatar

@Justnice I think @WillWorkForChocolate was within his/her rights to say that. People asking for homework help is a common problem on Fluther.

That being said, what @Mariah said is correct. Maybe a different example will help.

If you have y = 3*x+ 6 and you want to find the inverse:
Step 1: Switch x and y…
x = 3*y + 6
Step 2: Solve for y
Subtract 6 from both sides… x – 6 = 3 * y
Divide both sides by 3… (x – 6)/3 = y
Swap the two sides… y = (x – 6)/3
DONE

roundsquare (5522points)“Great Answer” (3points)
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ashek1's avatar

y=(1/x)^(⅓) ie cube root of (1/x)..

ashek1 (130points)“Great Answer” (0points)

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