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

User Opera
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Final answer:

The difference between two functions, f(x) and g(x), can be found by subtracting the equations for g(x) and f(x). Given that f(x) = √x - x and g(x) = 2x^3 - √x - x, the result of f(x) - g(x) is -2x^3.

Step-by-step explanation:

To find the difference between two functions, namely f(x) and g(x), we simply need to subtract the equation for g(x) from f(x).

The functions are given as f(x) = √x - x and g(x) = 2x^3 - √x - x.

So, f(x) - g(x) = (√x - x) - (2x^3 - √x - x).

By simplifying, we find that f(x) - g(x) equals -2x^3 (as the √x - x cancels out from both expressions).

Learn more about Subtraction of Functions

User Thach Lockevn
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