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