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3 years ago

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f*g and state its domain.

Mathematics

2 answers:

elixir [45]3 years ago

6 0

Answer: The answer is (c) $-20x^2+14x-12;\textup{ all real numbers.}$

Step-by-step explanation: Given that there are two functions f and g, defined by

$f(x)=-4x-2,\\\\g(x)=5x-6.$

We are to find f*g and also its domain.

$(f*g)(x)\\\\=f(x)g(x)\\\\=(-4x-2)(5x-6)\\\\=-20x^2+24x-10x-12\\\\--20x^2+14x-12.$

Also, its domain will be all real numbers, since the function f*g is defined at all 'x' in real numbers.

Thus, the correct option is

$-20x^2+14x-12.$

Artist 52 [7]3 years ago

3 0

Answer:

Option 3. (-20x2 + 14x + 12; domain: all real numbers) is the right answer.

Step-by-step explanation:

Let f(x) = -4x - 2 and g(x) = 5x - 6

then f(x)×g(x) = (-4x-2)(5x-6)

= -(4x+2)(5x-6)

= -( 20x²-24x+10x-12)

= -( 20x²-14x-12)

f(x)×g(x) = -20x² + 14x + 12

Since we know domain: f(x) ∈ R

Similarly for g(x) domain: g(x) ∈ R

Then domain of multiplication of both the function will be domain: f(x)×g(x) ∈ R.

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Answer:

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Step-by-step explanation:

For this case we can define the following events:

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$P(A \cap B) = P(A) *P(B)$

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Answer:

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bearhunter [10]

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Data:
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Surface=$1440/($15/m²)=96 m²

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