Hi, I have a quick question about inverse functions.

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To solve for x in the equation f^-1(5) = 3x - 1, given that f(-3) = 5, the equation can be set up as -3 = 3x - 1. Rearranging leads to 3x = -2, resulting in x = -2/3. This method of solving the problem is correct. The solution confirms the proper application of inverse functions.
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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