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f(x) = 4x2 + 5.0 - 3g(x) = 4.3 - 3x2 + 5Find (f +9)(x).O A. (f +g)(x) = 4x3 + x2 + 5x + 2O B. (f +g)(x) = 4x3 + 4x2 + 2x + 2O c. (f+g)(x) = 8x3 + 2x + 2O D. (f +g)(x) = -4x3 + 7x2 + 53 - 8SUBMIT

fx 4x2 50 3gx 43 3x2 5Find f 9xO A f gx 4x3 x2 5x 2O B f gx 4x3 4x2 2x 2O c fgx 8x3 2x 2O D f gx 4x3 7x2 53 8SUBMIT class=

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ANSWER

A. (f + g)(x) = 4x³ + x² + 5x + 2

EXPLANATION

To add this functions we have to combine and add like terms:

[tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=4x^2+5x-3+4x^3-3x^2+5 \\ (f+g)(x)=(4-3)x^2+5x+4x^3+(5-3) \\ (f+g)(x)=x^2+5x+4x^3+2 \\ \text{ordering the terms} \\ (f+g)(x)=4x^3+x^2+5x+2 \end{gathered}[/tex]

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