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Svetradugi [14.3K]
2 years ago
14

Can y’all help this is for Plato !!!!!! PLEASEEE HELP ME

Mathematics
1 answer:
irakobra [83]2 years ago
8 0

The two real values that are not in the domain of the composition are x = 2 and x = -2.

<h3>What two numbers are not in the domain of f°g?</h3>

Here we have:

f(x) = 1/x

g(x) = x^2 - 4

The composition is:

f°g = f(g(x)) = 1/(x^2 - 4)

The two values that are not in the domain are the values of x such that g(x) = 0, because we can't divide by zero.

g(x) = 0 = x^2 - 4

4 = x^2

±√4 = x

±2 = x

So g(x) = 0 when x = 2 or x = -2, so these are the two real values that are not in the domain of f°g.

If you want to learn more about domains:

brainly.com/question/1770447

#SPJ1

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Which sequences are geometric? Check all that apply.
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16 , -8 , 4 , -2 , 1 ⇒ 2nd

-15 , -18 , -21.6 , -25.92 , -31.104, ........ ⇒ 3rd

625 , 125 , 25 , 5 , 1 , ........ ⇒ 5th

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

Let us find which sequence has  a constant ratio between its consecutive terms

-2 , -4 , -6 , -8 , -10

∵ -4 ÷ -2 = 2

∵ -6 ÷ -4 = 1.5

- No constant ratio between the consecutive terms

∴ The sequence is not geometric

16 , -8 , 4 , -2 , 1

∵ -8 ÷ 16 = -0.5

∵ 4 ÷ -8 = -0.5

∵ -2 ÷ 4 = -0.5

∵ 1 ÷ -2 = -0.5

- There is a constant ratio -0.5 between the consecutive terms

∴ The sequence is geometric

-15 , -18 , -21.6 , -25.92 , -31.104, ........

∵ -18 ÷ -15 = 1.2

∵ -21.6 ÷ -18 = 1.2

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∵ 31.104 ÷ 25.92 = 1.2

- There is a constant ratio 1.2 between the consecutive terms

∴ The sequence is geometric

4 , 10.5 , 17 , 23.5 , 30, ......

∵ 10.5 ÷ 4 = 2.625

∵ 17 ÷ 10.5 = 1.619047619

- No constant ratio between the consecutive terms

∴ The sequence is not geometric

625 , 125 , 25 , 5 , 1 , ........

∵ 125 ÷ 625 = 0.2

∵ 25 ÷ 125 = 0.2

∵ 5 ÷ 25 = 0.2

∵ 1 ÷ 5 = 0.2

- There is a constant ratio 0.2 between the consecutive terms

∴ The sequence is geometric

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