Answer:
f
−
1
(
x
)
=
9
x
−
18
Explanation:
To find the inverse or
f
−
1
(
x
) of a function we solve the equation for x
So in this example, we can start by subtracting
2 from both sides: y
−
2
=
1
9
x
+
2
−
2
Next we multiply
9 to each side to isolate the variable x 9
(
y
−
2
)
=
1
x
9
⋅
9
9
y
−
18
=
x
Since the function of a line is written in terms of y we can simply switch x and y and rewrite the equation to get: y
=
9
x−
18 or f
−
1
(
x
)
=
9
x
−
18
