Hi, I have a quick question about inverse functions.

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SUMMARY

The discussion revolves around solving for x in the equation f^-1(5) = 3x - 1, given that f is a one-to-one function with f(-3) = 5. The correct approach involves substituting the known value into the equation, leading to -3 = 3x - 1. By isolating x, the solution is determined to be x = -2/3. The method used is confirmed as correct.

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Faith S
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One of our homework problem asks:

If f is a one-to-one function such that f(-3)=5 , find x given that f^-1 (5)=3x-1.

Here's how I attempted to solve the problem:
-3=3x-1
3x=-2
x=-2/3


Is this the correct way to solve the problem?
 
Last edited:
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Yes
 

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