Answer:
They are inverse functions
Step-by-step explanation:
A property of inverse functions is that if [tex]f(x) = a, g(a) = x[/tex]
We can plug in x = 3
[tex]f(1) = 3(3) - 2 = 7[/tex]
That means that, supposing they are inverse functions, g(7) should equal 3
[tex]g(7) = \frac{7+2}{3} =3[/tex]
It checks out
Another way to see if two functions are inverse is to swap the x and y of one of the functions.
ex. [tex]y = 3x-2\\-> x = 3y - 2\\-> x+2 = 3y\\-> y = \frac{x+2}{3}\\ \\[/tex]
Since, after the swap, the functions are equal, we know it is an inverse function
