If $f(x)=5-9 x$, find $f^{-1}(2)$ Your answer is

Step 1 ：The question is asking for the inverse of the function \(f(x) = 5 - 9x\) at the point 2. The inverse of a function is found by swapping the x and y values and solving for y. In this case, we need to find the x value when \(f(x) = 2\).

Step 2 ：Set up the equation \(5 - 9x = 2\) and solve for x.

Step 3 ：The solution to the equation is \(x = \frac{1}{3}\). This means that \(f^{-1}(2) = \frac{1}{3}\).

Step 4 ：Final Answer: \(\boxed{\frac{1}{3}}\)