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crimeas [40]
3 years ago
6

Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)

Mathematics
1 answer:
arlik [135]3 years ago
3 0
To find g(f(4)), work from the inside out.

f(4) is 4^2+3, or 16+3, or 19.  Now, we must find g(19).

This is 19+5/19.  This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.
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Lelu [443]
By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
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4 0
3 years ago
The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
bazaltina [42]

Answer:

75.1^{\circ}

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

3 0
3 years ago
Which values are solutions to StartFraction k minus 3 Over 4 EndFraction &gt;–2? Select two options. k = –10 k = –7 k = –5 k = –
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Answer:

k = -5 and i think the other one is k=0

Step-by-step explanation:

6 0
3 years ago
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Answer:

Set 1 Angle A is 90

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Set 1 Angles A and C are both 62

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Step-by-step explanation:

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2 years ago
Round the following to the highest<br> place value and find the<br> estimated product.<br> 8 x 7342
never [62]

Answer:58736

Step-by-step explanation:

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3 years ago
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