Find the inverse function of f(x) = 3x-5/6

Question

No clue how to do this lol.

Answer 1

The function is f(x) = y = (3x-5)/6.

To find inverse of f(x), replace y with x, and x with y.

x = (3y - 5)/6.

Multiple each side by 6.

6x = 3y - 5

Add 5 to each side.

6x + 5 = 3y

divide each side by 3.

y = (6x + 5)/3.

Therefore, inverse function f^-1(x) = (6x + 5)/3.