Given that f (x) = 4x+1/3, solve for f^-1 (3)

The value is 2/3

Step-by-step explanation:

In order to find this, we first need to find the inverse of the equation (f^-1). To do this, switch f (x) and x and then solve for the new f (x).

f (x) = 4x + 1/3

x = 4f (x) + 1/3

x - 1/3 = 4f (x)

1/4x - 1/12 = f (x)

f^-1 (x) = 1/4x - 1/12

Now that we have the inverse function, we simply need to plug in 3 for x and we get the value we are searching for.

f^-1 (x) = 1/4 (3) - 1/12

f^-1 (x) = 3/4 - 1/12

f^-1 (x) = 9/12 - 1/12

f^-1 (x) = 8/12

f^-1 (x) = 2/3