Answer:
D. -2x^3 + 2x^1/2
Step-by-step explanation:
Given
f(x) =x^1/2-x
g(x) = 2x^3-x^1/2-x
Required
f(x)-g(x)
f(x)-g(x) = x^1/2-x-(2x^3-x^1/2-x)
Open the parenthesis
f(x)-g(x) = x^1/2-x-2x^3+x^1/2+x
Collect like terms
f(x)-g(x) = x^1/2+x^1/2+x-x-2x^3
f(x)-g(x) = 2x^1/2+0-2x^3
f(x)-g(x) = -2x^3+2√x
Option D is correct
