Find the inverse of the function f(x) = 3x - 1.

f^-1(x)=

is the inverse a function?

1 answer

To find the inverse of a function, we switch the roles of x and y and then solve for y.

Given f(x) = 3x - 1, let y = 3x - 1.

Switching x and y, we get x = 3y - 1.

Solving for y, we get y = (x + 1) / 3.

Therefore, the inverse of the function f(x) = 3x - 1 is f^-1(x) = (x + 1) / 3.

Yes, the inverse is a function.