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yawa3891 [41]
3 years ago
10

Determine the domain of the function (f o g)(x) where f(x)= 3/x+2 and g=5/x.

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

The Domain is all real values of x except x = 0 and x = -2.5.

Step-by-step explanation:

I am assuming that f(x) = 3/(x + 2).

(f o g)x is found by substituting  5/x for the x in 3/(x + 2).

(f o g) x = 3/ ( 5/x + 2)

= 3 / ( 5+2x) / x

= 3x / (5 + 2x).

When finding the domain you  first check for values of x which make g(x) undefined then values of x which make (f o g)(x) undefined.

x = 0 makes  g(x) = 5/0 so it is undefined and  x = -2.5 makes g o f undefined also.

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Answer:

  D.  105 ft²

Step-by-step explanation:

The total surface area is the sum of the base area and the triangular face areas.

Area of base:

  A = s²

  A = (7 ft)² = 49 ft²

Area of 4 triangles:

  A = 4(1/2)bh

  A = 2(7 ft)(4 ft) = 56 ft²

Total surface area:

  base area + triangle area = 49 ft² +56 ft² = 105 ft²

4 0
2 years ago
Question four need to know what I did wrong I need to do it I need to understand
Nuetrik [128]

If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>

As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.

So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.

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1 year ago
oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many mil
kvasek [131]

Answer:

36 miles

Step-by-step explanation:

(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)

The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5.    3^{2} + 4^{2} = 5^{2}  

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6 0
3 years ago
What is 584 divided by 73
aev [14]
It is 8 because you divided it
5 0
2 years ago
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Someone PLSSS HELPPPP !!!!
AnnZ [28]

Answer:

p^3  / q^12

Step-by-step explanation:

p^6 q^4

------------------

p^3 q^16

We know a^b / a^c = a^(b-c)

First with variable p

p^6 /  p ^3 = p^(6-3) = p^3

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q^4 / q^16 = q^(4-16) = q^-12  and a^-b = 1/ a^b = 1 /q^12

p^3 * 1/ q^12

p^3  / q^12

8 0
2 years ago
Read 2 more answers
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