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The inverse function is
.
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The Deep Dive
To find the inverse of the function
, we start by replacing
with
:
Next, we solve for
in terms of
:
-
Subtract 4 from both sides:
-
Now, cube both sides to eliminate the cube root:
Now, we have expressed
in terms of
. To write the inverse function, we swap
and
:
Thus, the inverse function is: