# Given f(x) = the quantity of x plus 4, divided by 6, solve for f^{-1}(7).

We will use the concept of inverse function in order to find the required value.

## Answer: When f(x) = the quantity of x plus 4, divided by 6, f^{-1}(7) = 38

Let us see how we will use the concept of inverse function in order to find the required value.

**Explanation:**

It is given that f(x) = the quantity of x plus 4, divided by 6.

In mathematical form f(x) will be equal to (x + 4) / 6

f(x) = (x + 4) / 6

Now we have to find the inverse of f(x).

We have to find the value of x and then substitute x by f^{-1}(x) and f(x) by x and that will be our inverse function.

x = 6 f(x) - 4

Therefore, f^{-1} (x) = 6x - 4.

On substituting x = 7 we get f^{-1} (7).

⇒ f^{-1} (7) = 6(7) - 4 = 38

### Therefore, for f(x) = the quantity of x plus 4, divided by 6 the value of f^{-1} (7) = 38.