Question

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

Answer 1

Answer:

2sqrt(x)-2x^3

Step-by-step explanation:

f(x) - g(x) = sqrt(x)-x-(2x^3)+sqrt(x)+x=2sqrt(x)-2x^3

Answer 2

The difference of the two functions f(x) and g(x) is -

f(x) - g(x) = $-2x^{3} + 2\sqrt{x}$

We have - two functions of $x$ :

$f(x)=\sqrt{x} -x\\g(x) = 2x^{3} - \sqrt{x} -x$

We have to find -

$f(x)-g(x)$

What do you understand by the term - $y=f(x)$ ?

The term $y=f(x)$ indicates that $y$ is expressed as a function of $x$, where $x$ is a independent variable and $y$ is a dependent variable which depends on $x$.

According to question -

$f(x)-g(x)=\sqrt{x} -x - (2x^{3} - \sqrt{x} -x)\\f(x)-g(x)=\sqrt{x} -x-2x^{3} + \sqrt{x} +x\\f(x)-g(x)=-2x^{3} + 2\sqrt{x}$

Hence, f(x) - g(x) = $-2x^{3} + 2\sqrt{x}$

To solve more questions on operations of functions, visit the link below-

https://brainly.com/question/12688480

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