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.
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
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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!