Question & Answer

What is (f + g)(x)? f(x) = -3x² + 8x g(x) = 3x Write your answer as a polynomial or a rational function in simplest form

What is (f + g)(x)?
f(x) = -3x² + 8x
g(x) = 3x

Write your answer as a polynomial or a rational function in simplest form.

1 Answer

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Quizzma TeamMay 3, 2025

To find (f + g)(x), you need to add the two functions f(x) and g(x).

Given:

– f(x) = -3x² + 8x

– g(x) = 3x

We can combine these functions by adding their expressions:

(f + g)(x) = f(x) + g(x)

= (-3x² + 8x) + (3x)

= -3x² + 8x + 3x

= -3x² + 11x

So, (f + g)(x) = -3x² + 11x.

This is the polynomial in simplest form. If you have any further questions or need more details, feel free to ask!