Question

If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)

Answer 1

`-2x^3+2x^(1/2)`

Explanation:

First, you have to substitute both functions into the equation to get:

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

Then, you distribute the negative sign in front of g(x) to get:

`= x^(1/2) - x -2x^3+x^(1/2)+x`

And finally, you add/subtract the x's that have the same power to get:

`=-2x^3+2x^(1/2)`