What is the inverse of the function 1/9x+2

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