The function y = g(x) a domain of [- 3, 7] and a range of (6, 10). Determine the domain and range for 1/2g (x + 1)

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?