F(x) = 3x – 1 and f –1is the inverse of f, what is the value of f –1 (3)?

The value of the inverse at f-1(3) is .

To find this, we first need to find the inverse function. We can do so by switching the f(x) and x value. Then we need to solve for the new f(x). The result will be the inverse function. The work for this function is below.

f(x) = 3x - 1 ----> Switch the x and f(x)

x = 3f(x) - 1 ----> Add 1 to both sides

x + 1 = 3f(x) ----> Divide both sides by 3.

f(x) =

Now that we have the inverse function, we can evaluate it at x = 3

f(x) =

f(3) =

f(3) =

answer : r = y - 28 / 12

explanation :

y - 28 = 12r

y - 28 / 12 = r

switch sides ^

r = y - 28 / 12