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Gre4nikov [31]
2 years ago
8

I'm doing a practice, and I'm really confused by this question. Help would really be appreciated!!! **100 PTS!**

Mathematics
2 answers:
Stels [109]2 years ago
6 0

Great Question!

The problem we have at hand is known to be a function, which maps elements from one set of objects, ( the domain ) onto another, the range. If we were to consider an ordered pair, say ( x, y ), then the function would map x onto y. The inverse function is simply the reverse. Take the ordered pair (-4,0). Function g would map - 4 onto 0, such that g( - 4 ) = 0. Therefore, the inverse function would map 0 onto - 4, resulting in g^{-1}( 0 ) = - 4. And there you have it! Our first part is answered!

____

This second bit here is interesting. Let y = h( x ) -

y = 4x + 3 - Switch x and y,

x = 4y + 3 - And now solve this equation for y,

x - 4y = 3,\\- 4y = - x + 3,\\y = 1 / 4x - 3 / 4

As you can see, we have taken the inverse of h( x ). As y = h( x ), we can thus conclude the following -

h^{-1}(x) = 1 / 4x - 3 / 4

____

The composition (h^-1 o h)(-5) is, in other words, h^-1(h(-5)). We can therefore calculate h(-5) and then take it's inverse -

h(-5) = 4(-5) + 3,\\h(-5) = - 20 + 3,\\h(-5) = - 17

Now we can take it's inverse -

h^{-1}(-17) = 1 / 4( - 17 ) - 3 / 4,\\- 17 / 4 - 3 / 4,\\= - 5!

Our solution for this last bit is - 5. And, if you don't feel like reading through this entire explanation just take a look at the " summed up " answer below,

g^{-1}( 0 ) = - 4,\\\\h^{-1}( x ) = 1 / 4x - 3 / 4,\\\\( h * h^{-1} )( - 5 ) = - 5  I do hope that helps you!

zaharov [31]2 years ago
4 0

Answer:

Or 50

Step-by-step explanation:

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A) Change 9 out of 50 to a percentage.​
Artist 52 [7]

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

6 0
2 years ago
Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 28
polet [3.4K]
If there are two songs written and the longest one is 126 seconds less than twice the length of the short song, and the longest one lasts 286 seconds, then the shorter song's length can be found using this formula: 
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3 years ago
A square lawn has area 98 ft². A sprinkler placed at the center of the lawn sprays water in a circular pattern as
torisob [31]

The radius of the circle exists approximately 4.95 feet.

<h3>How to estimate the radius of the circle?</h3>

Given the area of the square as A = 98 ft²

The side length of the square choice is equivalent to the diameter of the circle.

First, we must obtain the length of the square.

Area of a square = L^2

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L = √98

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Thus the diameter of the circle exists at 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Therefore the radius of the circle exists approximately 4.95 feet.

To learn more about the radius of circle refer to:

brainly.com/question/19568457

#SPJ9

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valentina_108 [34]
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Since we know the price of the ticket and now know they need $240 we can divide our $240 with the price of each ticket ($3)

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So the drama club has to sell 80 more tickets in order to afford new lighting
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