Answer:
f
−
1
(
x
)
=
1
2
x
+
5
Step-by-step explanation:
f
(
x
)
=
2
x
−
10
→
Replace the
f
(
x
)
with
y
y
=
2
x
−
10
→
Switch the places of the x and the y
x
=
2
y
−
10
→
Solve for y
x
+
10
=
2
y
y
=
1
2
x
+
5
The inverse is
f
−
1
(
x
)
=
1
2
x
+
5