I need help solving and explaining these questions

1. Letf(x)= 5 28ndg(x):Ix+53. x (a) State the domain and range of f (b) State the domain and range g. (c) State the transformations required of} = J; to obtain g(x) . ((1) Find g"(x) algebraically, then state the domain and range of g'1 . (e) Find (f o g)(x) . 2. Given the equation ofa parabolaf(x) : 3.3c2 +12x 5 : (a) Write f in standard (vertex) form by completing the square. (b) Find the equation of the axis of symmetry of f (c) Graph f on the grid provided. Label the vertex as well as any x and yintercepts (accurate to 3 decimal places). (d) Determine iff has an absolute maximum or an absolute minimum value, then state that value. 3. Letf(x)= 2x2 2x+1andg(x)=Sx2. (3) Find W la (b) Determine g" (x) , and verify that g'1 (g(x)) = x . 4. Sketch a graph the following equations. Label the coordinates of any vertices, intercepts, and the equations of any horizontal or vertical asymptotes: (ay=aaj (b) y=|x+4|3 (C) y=e""5+4 (d) y=ln(x3)2 (e) y : gens (3x) in the interval [0,277]