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) = 6(7) - 4 = 38.

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