Question

(01.02 LC)

Answer 1

So to find the inverse of this function, replace f(x) with y, switch x and y, then solve for y. This is what it'll look like: $x=\frac{y-5}{3}$

Firstly, multiply both sides by 3: $3x=y-5$

Next, add both sides by 5 and replace y with f^-1 (x) and your inverse equation is: $3x+5=f^{-1}(x)$

Now that we have the inverse, plug in 3 into it and solve:

$3(3)+5=f^{-1}(3)\\ 9+5=f^{-1}(3)\\ 14=f^{-1}(3)$

In short, the answer is 14, or the second option.