# Given the function f(x) = 3(x + 2) − 4, solve for the inverse function when x = 2.

An inverse function is the reverse of an original function with inverse mapping. They have many interesting applications in various fields like calculus and algebra.

## Answer: For the given function f(x) = 3(x + 2) − 4, the inverse function when x = 2 will be equal to 0.

Let us proceed step by step.

**Explanation:**

From the given function: f(x) = 3(x + 2) − 4

Let us proceed to find inverse of the given function.

f(x) = 3(x + 2) − 4

y = 3(x + 2) − 4 [ Replacing f(x) with y]

x = 3(y + 2) − 4. [interchanging the variables]

x + 4 = 3(y + 2) [Simplifying the terms]

(x + 4) / 3 = y + 2

[(x + 4) / 3] − 2 = y

f^{-1}(x) = [(x + 4) / 3] − 2. [ as y = f^{-1}(x) ]

Now let us solve for x = 2

f^{-1}(2) = [(2 + 4) / 3 ]− 2

f^{-1}(2) = [6 / 3] − 2

f^{-1}(2) = 2 − 2

f^{-1}(2) = 0