For each pair of functions, find (fog)(x) and (go f)(x) . Determine the domain of (fog)(x) and the domain of (gof)(x). Show your work. 1. f(x) = 6x +5 and g(x) =2x -4
2. f(x) =4x2-16 and g(x) = Vx+7
3. f (x) = 5 and g(x) = 4x+4
x -4
4. f(x) = 5x +2 and g(x) = x2+1
5. f(x) =2x2 -4x+21 and g(x) = x+3

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.