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Flauer [41]
3 years ago
12

Let f(x) = (3x4 - 12)3 and h(x) = x3. Given that f(x) = (hºg)(x), find g(x).

Mathematics
1 answer:
blagie [28]3 years ago
6 0

Answer:

Step-by-step explanation:

f(x) = (3x4 - 12)3 and h(x) = x3.

g(x) = 3x4 - 12

since  f(x) = (hºg)(x) = h(g(x))

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Answer:

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5 0
3 years ago
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Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
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Bas_tet [7]
Hello, there!


If s = 9, then 2s = 2 * 9

2 * 9 = 18

2s = 18


I hope I helped!

Let me know if you need anything else!

~ Zoe
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1 year ago
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ludmilkaskok [199]

Answer:

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