Question

If f(x) = (x^1/2 - x)

And g(x) = (2x^3 -x^1/2 - x)
Find f(x) - g(x)

A.) -2x^3 - 2x -2x^1/2
B.) -2x^3 - 2x
C.) 2x^3 - 2x + 2x^1/2
D.) -2x^3 + 2x^1/2

Also give a brief explanation, I know how to set up the problem, just not sure what to do after you have

X^1/2 - x - 2x^2 - x^1/2 - x

Answer 1

Well, you are subtracting g(x) from f(x) so:

√x-x-(2x^3-√x-x) which is:

√x-x-2x^3+√x+x (you have your signs wrong at the bottom of your post)

Now you would simply combine like terms (do your addition and subtraction of like terms)

-2x^3+2√x

So the answer is D.