The function is .
Step 1: Rewrite the function as an equation relating and
.
.
Step 2: Exchange and
in the equation.
.
Step 3: Solve the equation for .
(Inverse of
)
(Multiply each side by
)
(Add
to each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Step 4: Replace with
.
.
Therefore, the inverse of is
.
Option A is right choice.