Answer: D- f(x) - g(x) = -2[tex]x^{3}[/tex] + 2[tex]x^{1/2}[/tex]
Step-by-step explanation:
f(x) - g(x) = ([tex]x^{1/2}[/tex] - x) - (2[tex]x^{3}[/tex] - [tex]x^{1/2}[/tex] - x)
f(x) - g(x) = [tex]x^{1/2}[/tex] - x - 2[tex]x^{3}[/tex] + [tex]x^{1/2}[/tex] + x - distribute negative sign
f(x) - g(x) = -2[tex]x^{3}[/tex] + 2[tex]x^{1/2}[/tex] - combine like terms ( -x & +x cancel out)
