Respuesta :

Given:

[tex]\begin{gathered} f(x)=\sqrt{x}-x \\ g(x)=2x^3-\sqrt{x}-x \end{gathered}[/tex]

Required:

Find f(x) - g(x).

Explanation:

The given functions are:

[tex]\begin{gathered} f\mleft(x\mright)=√x-x \\ g\mleft(x\mright)=2x^3-√x-x \end{gathered}[/tex][tex]\begin{gathered} f(x)-g(x)=(\sqrt{x}-x)-(2x^3-\sqrt{x}-x) \\ =\sqrt{x}-x-2x^3+\sqrt{x}+x \\ =2\sqrt{x}-2x^3 \\ =2(\sqrt{x}-x^3) \end{gathered}[/tex]

Final Answer:

[tex]f(x)-g(x)=2(\sqrt{x}-x^3)[/tex]

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