Question

Given f(x) =3x-1/2 solve for f^-1(4)

Answer 1

f(x) = 3x - 1/2

$f^{-1}(x)$ is the inverse of f(x). Let y = f(x)

y = 3x - 1/2

To find the inverse function, replace y with x and x with y

x = 3y - 1/2

After solving and simplifying the equation for y, you will get the following equation

y = x/3 + 1/6

This is the inverse of f(x). Now, substitute x = 4

y = 4/3 + 1/6

= 8/6 + 1/6

= 9/6

= 3/2

That should be your answer. Let me know if you need any clarifications, thanks!