Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x)) Probably a simple answer, but I'm completely lost at what I'm being asked here.

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

So, we can let j be the inverse function of h.

Function h is given by:

Find its inverse. Flip variables:

Solve for y. Add:

Hence:

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

And:

goog may be able to you find that answer