Answer:
[tex]-2x^3+2x^{1/2}[/tex]
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
[tex]f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)[/tex]
Then, you distribute the negative sign in front of g(x) to get:
[tex]= x^{1/2} - x -2x^3+x^{1/2}+x[/tex]
And finally, you add/subtract the x's that have the same power to get:
[tex]=-2x^3+2x^{1/2}[/tex]
