Please help me with this practice. Please show work with explanation.

1. Consider the following graph for y = f(:c): 1\" (12,3) m 20 Give sketches for each of the following transformations of this function, labeling four points on each of these graphs explicitly. Remember to label your axon! Mm) = f(-$) M3) = f(3$) j(m) = %f(2(sc + 3)) km) = 1.5 3131.- 6) + 3 2. Let f be a function with domain [1, 3) U {6} and range (0, 1] U {4}. Give the domain and range of each of the following: 9(w) = f(-$) 31(3) = H31\") Mm) = 1.5f(3:z: 6) + 3 3. Solve the following equation for r exactly: In(a) + log(3) = In(x ) + log(7) Show your work. HINT: In(a) + log(b) is neither In(ab) nor log(ab