1 solve log3xlog3x82 2 find f o gx if gx f-1x is the

Question

1. Solve log₃x+log₃(x+8)=2

2. Find (f o g)(x) if g(x) =f^-1(x) is the inverse of the function f(x).

3. FInd a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, - square root 3, 1 -i.

4. Find the domain of f(x)=√(x^2+x-12) in interval notation.