The inverse of this function is f(x) = 
To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.
f(x) =
----> Switch the x and f(x)
x =
----> Muliply both sides by 3
3x = -15 + 4f(x) ----> Add 15 to both sides
3x + 15 = 4f(x) ----> Divide both sides by 4.
f(x) = 
Answer:
37 minutes
Step-by-step explanation:

First I found the number of adults by multiplying .60 by 700. It was 420. From there all I had to do was subtract it from 700. Revealing the number of children to be 280.
They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.