Given f(x)=x^2-8 and g(x)=x+1/x, find (g o f)(1)[Hint:(g o f)(-4)=(g(f(-4))]
a.)8/7 b.)8 c.)6/7 d.)-8

Answers

Answer 1

Answer: f(1) is equal to 1^2-8, or -7.

g(x) is (-7+1)/-7, or -6/-7. This simplifies to 6/7. C is the best option.

Also, since you posted a similar question earlier, I knew what to look for with g(x), but in the future, this looks like the x is not divided by the x in the denominator, and you should express this function as (x+1)/x to increase clarity.

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How do you solve (-4×6)+8÷-2

Answers

PEMDAS
parenthasees first
exponents
mulitplication or division
additon or subtraction

read from leaft to right

paretnahseese
(-4 times 6)
negative tiems positive=negative
-4 tiems 6=-24

now we have
-24+8/-2
division
8/-2
positive divided by negative=negative8/-2=-4

now we have
-24-4
add
-24-4=-28

answer is -28

You have prizes to reveal! Go to your game board.A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?

Answers

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

A jet travels 3950 miles from Chicago to London and then returns. The total flying time for the roundtrip is 16.5 hours. The return trip takes longer due to the wind. If the jet's average speed with no wind is 485 mi/hr, what is the average speed of the wind during the round trip flight? Round to the nearest mi/hr

Answers

the answer is473 miles per hour

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Answers

Answer:

b = 20√2

Step-by-step explanation:

Given: ΔABC

a = 20 , m∠A = 30° and m∠B = 45°

To find: value of b.

We use Sine result, which state that

$(a)/(sin\,A)=(b)/(sin\,B)$

Substituting given values we, get

$(20)/(sin\,30^(\circ))=(b)/(sin\,45^(\circ))$

we know that $sin\,30^(\circ)=(1)/(2)\:and\:sin\,45^(\circ)=(1)/(√(2))$ , we get

$(20)/((1)/(2))=(b)/((1)/(√(2)))$

$20{*2}=b*√(2)$

$b*√(2)=40$

$b=(40)/(√(2))$

$b=20√(2)$

Therefore, b = 20√2

The side b is opposite to the angle B, applying the law of the sines, we have:

$(a)/(sinA) = (b)/(sinB)$
$(20)/(sin30^0) = (b)/(sin45^0)$
$(20)/( (1)/(2) ) = (b)/( ( √(2) )/(2) )$
$20* ( √(2) )/(2) = b* (1)/(2)$
$(20 √(2) )/(2) = (b)/(2)$
$2*b =2*20 √(2)$
$2b = 40 √(2)$
$b = (40 √(2) )/(2)$
$\boxed{b = 20 √(2) }$

Find the volume generated by rotating the region in the first quadrant bounded by y =e" and the X-axis from = 0 to x = ln(3) about the y-axis. Express your answer in exact form. Volume =

Answers

The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.

To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.

The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.

So, the volume of the region is:

V = ∫0ln(3)πx2dx

We can use the power rule for integration to solve this integral:

V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3

Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.