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3 years ago

PLEASE HELP ME! ALSO PLEASE EXPLAIN!

Mathematics

1 answer:

kobusy [5.1K]3 years ago

8 0

Answer:

c=13

Step-by-step explanation:

5^2+12^2=c^2

25+144=c^2

169=c^2

c=sqrt(169)

c=13

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

marissa [1.9K]

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.

The value of $(f\times g)(x)$ :

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

Domain:

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.

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