Let f (x) = 4x3 + 2x + 1, g (x) = x5 - x3 +2 and h (x) = 2sin (x).
Indicate for each of them the biggest possible domain of the functions.
1: (f + g)(x)
2: (3f −2g)(x)
3: (g−h)(x)
4: (f g)(x)
5: (fh)(x)
6: (2f/h)(x)
f (x) = 4x^3 + 2x + 1, g (x) = x^5 - x^3 +2 and h (x) = 2sin (x)
1. ( f + g)x = x^5 + 4x^3 - x^3 + 2x + 3 ....... domain is ( -inf, + inf)
4. ( f * g) x = 4 x^8 - 2 x^6 + x^5 - 2 x^4 + 7 x^3 + 4 x + 2 ..... domain is ( -inf, + inf)
3: (g−h)(x) = x^5 - x^3 +2 - 2sin (x)
Domain = (- inf, + inf)
