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My name is Ann [436]
3 years ago
9

Which of the following is an even function?

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0
I am pretty sure it is b
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Let f(x)=1/2 and g(x)= x^2+5x
Vsevolod [243]

For part a, you just have to compose the functions. Another way to write (f · g)(x) is f(g(x)), which means basically you take g(x) and let it be like a variable you plug into f(x). In your case, you look at f(x), and there isn't a variable there, so there's nothing you can compose because there's no x to plug g(x) into. (Unless you accidentally mistyped and there is supposed to be a variable in f(x). In that case, take g(x) and plug it in. For example, if f(x) = (1/2)x, (f · g)(x) would be (1/2)(x^2 + 5x).)

Anytime a question asks for domain and range, the first thing you want to ask yourself is if there's anything in either of your equations that limits the results. A pretty easy example of stuff that can "limit" a domain or range is something like 1/(x - 2), where x cannot equal 2, or else you'll be dividing by zero which will give you an error. Since there's nothing to compose with (f · g)(x) = 1/2, your domain will be (-∞, ∞) since it's a constant and when graphed, it'll extend forever. Your range is only one number, since 1/2 does not range above or below 1/2, but only sits exactly at 1/2. So your range is y = 1/2.

8 0
3 years ago
You have boxes that will hold 1 cubic foot, 3 cubic feet,
valkas [14]

Answer:

13 boxes

Step-by-step explanation:

To calculate the minimum number of boxes that can be had with that amount of paper, they should be kept in the largest box, that is, the 27 cubic foot box, therefore, we divide:

257/27 = 9.51

Which means that we can save the paper in 9 boxes of 27 cubic feet, now we will save the rest in the next smaller box, the 9 cubic foot box.

First let's calculate how many leftover paper:

257 - 27 * 9 = 14

Therefore, we can only use 1 box of 9 cubic feet:

14 - 9 = 5

For the remaining 5 cubic feet use 1 box of 3 cubic feet and 2 boxes of 1 cubic foot.

Therefore, in total it would be:

9 of 27 ft ^ 3 + 1 of 9 ft ^ 3 + 1 of 3 ft ^ 3 + 2 of 1 ft ^ 3 = 13

a total of 13 boxes would be the minimum

8 0
3 years ago
Explain WHY a rotation of 180° is the same as doing<br> reflection over the x-axis AND the y-axis?
Effectus [21]
The 180 degree acts like both a horizontal (y axis) and vertical (x axis) reflection in one action.Precisely. Although they appear similar at first,rotating a figure 180 degrees swaps the image left-to-right and top-to-bottom at once.
4 0
2 years ago
Given y = 50(1.15)*, what type of<br> function is this?
Vikentia [17]
It’s an exponential growth because 1.15 indicates that the function is increasing by 15% and the number is greater than 1
4 0
2 years ago
Is this image an example of a ray ??
aksik [14]

Answer:

what image u talking about can u so me the image so I can right the answer. plis

3 0
3 years ago
Read 2 more answers
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