Question

If F(x)=3x-2/6 which of the following is the inverse of F(x)?

Answer 1

Explanation:

I'm seeing that f(x) is

`(3x-2)/(6)`

What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:

`x=(3y-2)/(6)`

Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:

6x = 3y - 2 and

6x + 2 = 3y so

2x + 2/3 = y

To put it back into function notation:

`f^(-1)(x)=2x+(2)/(3)`