Question

Please help with 8.???

Answer 1

Answer:

They are inverse functions

Step-by-step explanation:

A property of inverse functions is that if $f(x) = a, g(a) = x$

We can plug in x = 3

$f(1) = 3(3) - 2 = 7$

That means that, supposing they are inverse functions, g(7) should equal 3

$g(7) = \frac{7+2}{3} =3$

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. $y = 3x-2\\-> x = 3y - 2\\-> x+2 = 3y\\-> y = \frac{x+2}{3}$

Since, after the swap, the functions are equal, we know it is an inverse function