What is (f – g)(x)? f(x) = x g(x) = -2x² – 7x Write your answer as a polynomial or a rational function in simplest form

To find ((f – g)(x)), we need to subtract the function (g(x)) from (f(x)).

Given:

– (f(x) = x)

– (g(x) = -2x^2 – 7x)

Now, we calculate ((f – g)(x)):

[

(f – g)(x) = f(x) – g(x)

]

[

= x – (-2x^2 – 7x)

]

[

= x + 2x^2 + 7x

]

[

= 2x^2 + 8x

]

So, the answer is:

[

(f – g)(x) = 2x^2 + 8x

]

This is the simplest polynomial form. If you need further help or explanation, feel free to ask!