Question

If f(x)=√x-x and g(x)=2x^3-√x-x find f(x)-g(x)

Answer 1

Given:

`\begin{gathered} f(x)=√(x)-x \\ g(x)=2x^3-√(x)-x \end{gathered}`

Required:

Find f(x) - g(x).

Step-by-step explanation:

The given functions are:

`\begin{gathered} f\mleft(x\mright)=√x-x \\ g\mleft(x\mright)=2x^3-√x-x \end{gathered}`
`\begin{gathered} f(x)-g(x)=(√(x)-x)-(2x^3-√(x)-x) \\ =√(x)-x-2x^3+√(x)+x \\ =2√(x)-2x^3 \\ =2(√(x)-x^3) \end{gathered}`

Final Answer:

`f(x)-g(x)=2(√(x)-x^3)`