Question

two functions f and g are defined in the figure below. find the domain and range of the composition g o f.write your answers in set notation. edit: double check answers if possible.

Answer 1

1. The domain of g o f, are those values in the domain of f(x) that have an image that also appears in the domain g(x).

These values are 3, 7 and 8.

Therefore, domain of g o f: 3, 7, 8

2. The range of g o f are the images of the domain 3, 7, 8. and this is 0, 6

Therefore, the Range of g o f: 0, 6