Respuesta :

carlosego

For this case we have that by definition:

[tex](fg) (x) = f (x) * g (x)[/tex]

So:

[tex](fg) (x) = (3x ^ 2 + 5) (x-2)[/tex]

We apply distributive property that states that:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

In addition, we take into account that:

[tex]+ * - = -[/tex]

[tex](fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10[/tex]

Answer:

[tex]3x ^ 3-6x ^ 2 + 5x-10[/tex]

Option B

zainebamir540

Answer:

(fg)(x) = 3x³-6x²+5x-10

Step-by-step explanation:

We have given two functions.

f(x)=3x²+5 and g(x)=x−2

We have to find (fg)(x).

The formula to find fg is :

(fg)(x) = f(x) × g(x)

Putting values in above formula, we have

(fg)(x) = (3x²+5)(x-2)

(fg)(x) = 3x²(x-2)+5(x-2)

(fg)(x) = 3x³-6x²+5x-10 which is the answer.

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