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Kipish [7]
3 years ago
15

Use the function f(x)=x^2-8 find the inverse of f(x)

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:


Step-by-step explanation:

let : y = x² - 8

calculate : x

x² = y + 8

x exist : y + 8 ≥ 0

x = √(y + 8)    or x =  - √(y + 8)

conclusion :

if : x ≥ 0    the inverse of f(x) is : g(x) = √(x + 8)

if : x ≤ 0    the inverse of f(x) is : h(x) =  - √(x + 8)


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Step-by-step explanation:

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3 years ago
(PLEASE HELP ) A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate,
blagie [28]

Answer:

r = d/t

r = 200, 000 meters/hour

r = 200, kilometers/hour

km/ hour makes more sense

Step-by-step explanation:

Given

) A falcon flies 800,000 meters in 4 hours.

thus distance = 800, 000 meters

1 km = 1000 meters

thus distance in km=  800, 000 meters/1000 = 800 km

t = h hours

Part A: Rearrange the distance formula, d = rt, to solve for rate.

d = rt

dividing both sides by t

d/t = rt/r = r

thus. r = d/t

Part B: Find the falcon's rate in meters per hour.

d = 800, 000 meters

t = 4 hours

r = 800, 000 meters/ 4 hours = 200, 000 meters/hour

thus, rate =  200, 000 meters/hour

Part C: Find the falcon's rate in kilometers per hour.

we know d in km = 800 km as shown above

thus

rate = 800 km/4 hours = 200 km/hour

Part D: Which unit, meters, or kilometres, makes more sense to use in this scenario, and why

we know that standard unit of speed is

km/hour and m/sec

we know that that every unit is divided into from to large so that if the value is large or small we can use the appropriate unit and thus it is simpler to look the data and analyze it.

since here distance is very large , hence it is better to use km /hour

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3 years ago
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Answer:

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Combine Like Terms:

=6c+3d+−d

=(6c)+(3d+−d)

=6c+2d

=6c+2d

Step-by-step explanation:

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3 years ago
Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

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r=3 sec(y)

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b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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which is a standard integral so we solve it to:

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so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
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