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3241004551 [841]
2 years ago
14

Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fxg and state its domain.

Mathematics
2 answers:
marissa [1.9K]2 years ago
3 0

Option D: (f\times g)(x)=12 x^{2}-48 x+21; all real numbers.

Explanation:

Given that the functions are f(x)=-2 x+7 and g(x)=-6 x+3

We need to determine the value of (f\times g)(x) and its domain.

<u>The value of </u>(f\times g)(x)<u>:</u>

The value of (f\times g)(x) can be determined by multiplying the two functions.

Thus, we have,

(f\times g)(x)=f(x)\times g(x)

                =(-2x+7)(-6x+3)

                =12x^2-6x-42x+21

(f\times g)(x)=12 x^{2}-48 x+21

Thus, the value of (f\times g)(x) is (f\times g)(x)=12 x^{2}-48 x+21

<u>Domain:</u>

We need to determine the domain of the function (f\times g)(x)

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Thus, the function (f\times g)(x)=12 x^{2}-48 x+21 has no undefined constraints, the function is well defined for all real numbers.

Hence, Option D is the correct answer.

snow_lady [41]2 years ago
3 0

Answer:

12x² - 48x + 21; all real numbers

Step-by-step explanation:

f(x) = -2x + 7

g(x) = -6x + 3

f(x)×g(x) = (-2x + 7)(-6x + 3)

= 12x² - 42x - 6x + 21

= 12x² - 48x + 21

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