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Fantom [35]
2 years ago
15

Find the inverse function of f(x) = x^3/2

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0

Answer:

<em>The answer is f^-1(x)=0^3</em>\sqrt{x}+2

Step-by-step explanation: Now we just change y back to f(x) and add a 0−1 to write it in inverse notation We begin with f(x)= x 3−2 . To find the inverse of any equation, just switch x and y No, before we do that, I'm going to change the equation. I'm going to rename f(x) to y , just so that I don't have to deal with the parentheses or anything. Now, all I have to do is change what f (x) is called, not it's actual value. Anyways, we have y = x 3 − 2 Now we switch x and y and then solve for y Now we've got x = y 3−2 If we add 2 on both sides we have x + 2 = y 3 Now we just need to get y as simple as possible, which we'll do by cube rooting both sides of the equation. That leaves us with y=0 3√x+2 Now we just change y back to f(x) and add a 0−1 to write it in inverse notation

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A bicycle is traveling at 16 miles per hour. How many feet will it cover in 35 seconds? Round your answer to the nearest tenth o
ch4aika [34]

A  bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.

It is required to find How many feet will it cover in 35 seconds.

<h3>What is conversion?</h3>

conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

Given that:

1 hour = 60min×60sec = 3600 sec

1 miles = 5280 feet

16 miles = 16×5280ft = 84480 ft

3600sec ................. 84480  ft

35sec ................................ x ft

x = 35×84480/3600

=2956800 /3600

= 821.33 feet.

Hence, a bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.

Learn more about conversion here:

brainly.com/question/3477680

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3 0
1 year ago
Find the explicit formula for the given sequence.<br> 1,5, 25, 125, ....
Lyrx [107]

Answer:

you keep multiplying by five

Step-by-step explanation:

So 1 x 5 is five, 5 x 5 is 25, 25 x 5 is 125, so on and so forth.

8 0
3 years ago
50 written as a product of its prime fac<br> tors
Maru [420]
Start by identifying any factor of 50 and then rewriting 50 to include that one factor and another:

50 = 5 * 10              5 is prime, but 10 is not.  Thus, factor 10:

50 = 5 * 5 * 2        This is 50 as a product of its prime factors 5, 5 and 2.
7 0
3 years ago
Find (gºf)(3)
Elodia [21]

Answer:

A. -25

Step-by-step explanation:

sana nakatulong :-)

8 0
3 years ago
A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depressio
Natali [406]

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m

Hence, this is the required solution.

4 0
3 years ago
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