Let f (x) = 4x3 + 2x + 1, g (x) = x5 - x3 +2 and h (x) = 2sin (x). Calculate the following features and specify for each of them the maximum domain.
1: (f + g)(x)
2: (3f −2g)(x)
3: (g−h)(x)
4: (f g)(x)
5: (fh)(x)
6: (2f/h)(x)
