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Helga [31]
3 years ago
14

F(x)=2x^2+4x-16 g(x)=4x^2-16 Find (f/g)(x).

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

Step-by-step explanation:

(\frac{f}{g} )(x) = \frac{2x^{2} +4x-16}{4x^{2} -16}

2x²+4x -16 =  2(x²+2x-8); factor 2

                  = 2(x+4)(x-2) ;factor the quadratic equation

4x²-16  = 4(x²-4) ; factor 4

            =4(x²- 2²) ; rewrite 4 as 2²

           = 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

(\frac{f}{g}) (x) = \frac{2(x+4)(x-2)}{4(x-2)(x+2)} ; simplify (x-2) from numerator and denominator

                                  and 2/4 as 1/2

(\frac{f}{g}) (x) = \frac{(x+4)}{2(x+2)}

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Answer:

v and or.

Step-by-step explanation:

A ∨conveys the notion of "or". We use the symbol logical ∨ to represent a disjunction.

The "or" in logical lenguage indicates that one thing can happen but another thing also can happen, that is what we call a disjunction. The symbol to represent it is ∨.

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I need help with this question on a math test
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2 years ago
3x^2 -5x -2=0
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Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

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2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

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