Let g(x) = 14x^1/2-8x^2/3 and h(x) = 3x1/2 +5x2/3. Find g(x)-h(x) and state the domain

Answer 1

Find g(x)-h(x)
= 14x^1/2-8x^2/3 - (3x1/2 +5x2/3)
= 11x^1/2 - 13x^2/3
= x^(1/2) (11 - 13x^(2/3-1/2) )
= √x (11 - 13x^(1/6) )