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

Solution:

It is given that

f(x) = the quantity of x plus 4, divided by 6

We can write it as

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

We have to first find the inverse of f(x)

We should determine the value of x 

x = 6f(x) - 4

So f ^-1(x) = 6x - 4

Now substitute x = 7

f ^-1(7) = 6(7) - 4 = 42 - 4 = 38

Therefore, f^-1(7) is 38.

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

Summary:

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