What is (f + g)(x)?
f(x) = 2x² + 6x
g(x) = 4x
Write your answer as a polynomial or a rational function in simplest form.
What is (f + g)(x)? f(x) = 2x² + 6x g(x) = 4x Write your answer as a polynomial or a rational function in simplest form
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To find ((f + g)(x)), you need to add the two functions (f(x)) and (g(x)) together.
Given:
(f(x) = 2x^2 + 6x)
(g(x) = 4x)
Now, add the functions:
[
(f + g)(x) = f(x) + g(x) = (2x^2 + 6x) + (4x)
]
Combine the like terms:
[
= 2x^2 + 6x + 4x = 2x^2 + 10x
]
So, ((f + g)(x) = 2x^2 + 10x).
This is the polynomial in its simplest form. If you’d like more in-depth assistance, feel free to check the extended services page!