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

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!