Question

Question #ab41d

Answer 1

`g(f(x)) = (x-3)^4 / 3`

Explanation:

The first thing that i would consider is `f(x)` we can factorise this;

`f(x) = (x-3)(x-3) = (x-3)^2`

we know `g(x)` to be `x^2 /3`

So `g(f(x))` simply means where we see an `x` we replae with the expression of `f(x)`

So hence `g(f(x))` = `(f(x))^2 /3 = ((x-3)^2)^2 /3`

`=> g(f(x)) = (x-3)^4 /3`