Respuesta :

altavistard
Identify and sum up the x^2 terms:  Result:  3x^2
Next, ident. and sum up the x terms:  Result:  (1/3  +  2) = (7/3)x
Last, ident. and sum up the const. terms:  Result:  -2 - 6 = -8

The sum of these two functions is 3x^2 + (7/3)x - 8.
boffeemadrid

Answer:

(A)    

Step-by-step explanation:

The given functions are:

[tex]f(x)=\frac{x}{3}-2[/tex] and [tex]g(x)=3x^2+2x-6[/tex]

Now, [tex](f+g)(x)=f(x)+g(x)[/tex]

therefore, [tex](f+g)(x)=\frac{x}{3}-2+3x^2+2x-6[/tex]

=[tex]3x^2+2x+\frac{x}{3}-8[/tex]

=[tex]\frac{9x^2+6x+x-24}{3}[/tex]

=[tex]\frac{9x^2+7x-24}{3}[/tex]

=[tex]3x^2+\frac{7}{3}x-8[/tex]

Thus, [tex](f+g)(x)=3x^2+\frac{7}{3}x-8[/tex]

Hence, Option A is correct.

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