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  1. x^2 + 4x - 4.

    Step-by-step explanation:

    (f + g)(x) is the same thing f(x) + g(x), which is the same thing as (4x + 1) + (x^2 - 5).

    (4x + 1) + (x^2 - 5)

    = x^2 + 4x + 1 - 5

    = x^2 + 4x - 4

    Hope this helps!

  2. Step-by-step explanation:

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

               = 4x + 1 + x² - 5

                = x² + 4x  - 4

  3. x^2 +4x -4

    Step-by-step explanation:

    f(x) = 4x+1

    g(x) = x^2-5

    (f+g)(x) =  4x+1 + x^2 -5

    Combine like terms

                = x^2 +4x +1-5

                  =x^2 +4x -4

  4. (f + g)(x) is x² + 4x - 4

    Step-by-step explanation:

    Step 1:

    Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)

    (f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4

  5. The answer is A, x^2 + 4x - 4

    Just did this in calculus last year. It's really simple, you just add them together.

    (f+g)(x)

    x^2 - 5 + 4x + 1

    x^2 + 4x - 4

    Good luck!

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