Answer:
Write
f
(
x
)
=
e
2
x
as an equation.
y
=
e
2
x
Interchange the variables.
x
=
e
2
y
Solve for
y
.
Tap for more steps...
y
=
ln
(
x
)
2
Replace
y
with
f
−
1
(
x
)
to show the final answer.
f
−
1
(
x
)
=
ln
(
x
)
2
Verify if
f
−
1
(
x
)
=
ln
(
x
)
2
is the inverse of
f
(
x
)
=
e
2
x
.
Tap for more steps...
f
−
1
(
x
)
=
ln
(
x
)
2
([)]|√>≥
789÷<≤
456/×∩∪
123-^π∞
0.,+%=