# Given f(x) = the quantity of x plus 7, divided by 5, solve for f^{−1}(3).

Functions are very important concepts in mathematics that form the backbone of topics like calculus. The fundamental operations can be performed on two or more functions to give a new function as a result.

## Answer: For f(x) = the quantity of x plus 7, divided by 5, f^{-1}(3) = 8.

We will use inverse of function formula to answer this question. Let's understand the solution in detail.

**Explanation:**

From the questions, it is given that f(x) = (x + 7) / 5.

To find the inverse of the function, we follow the steps below:

Step 1: First we write f(x) = y.

⇒ Hence, f(x) = y = (x + 7) / 5

Step 2: Now we find x in terms of y.

⇒ Hence, x = 5y - 7

Step 3: Finally, we substitute x with f^{-1}(x) and y with x to get the final solution.

⇒ Hence, f^{-1}(x) = 5x - 7.

Therefore, from the above equation, f^{-1}(3) = 8.