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The inverse of
is
.
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The Deep Dive
To find the inverse of the function
, we can start by swapping
and
. So, we rewrite the equation as
. Now, solve for
by dividing both sides by 2, leading to
. Therefore, the inverse function is
.
In the world of functions, inverses are like dance partners in a perfectly choreographed routine—their movements are complementary! When you apply a function to a number and then its inverse, you’ll wind up right back where you started, making sure the rhythm is always in sync. So,
and
must hold true!