QuestionFind the inverse of the one-to-one function .
Studdy Solution
STEP 1
Assumptions1. The function is one-to-one, which means it has an inverse. . The function is .
STEP 2
To find the inverse of a function, we first replace the function notation with .
STEP 3
Next, we swap and . This means we replace every with and every with .
STEP 4
Now, we solve this equation for to get the inverse function. First, we add8 to both sides to isolate .
STEP 5
Finally, we take the cube root of both sides to solve for .
This is the inverse of the function , which we denote as .
The inverse of the function is .
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