What is the inverse of function f (x) = 10/9x+11

The inverse is 9/10 (x-11)

Step-by-step explanation:

y = 10/9x + 11

Exchange x and y

x = 10/9 y + 11

Solve for y

x-11 = 10/9 y+11-11

x-11 = 10/9y

Multiply each side by 9/10

9/10 (x-11) = 9/10 (10/9) y

9/10 (x-11) = y

The inverse is 9/10 (x-11)