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
)
(Add
to each side)
(Apply additive inverse property:
)
(Multiply each side by
)
(Cancel common terms)
Step 4: Replace with
.
.
The inverse of is
.
The graph of is the reflection of the graph of
in the line
.
Graph:
\Graph the functions and
.
The inverse function is .
Graph of the functions and
are
.