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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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It was 210 cm.

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3 years ago
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A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement
IRISSAK [1]

Answer:

a.

                         R-------8/38--------RR

R------9/39--------B-------13/38-------RB

                          G------17/38--------RG

                          R-------9/38--------BR

B--------13/39------B-------12/38-------BB

                           G-------17/38-------BG

                             R-----9/38--------GR

G---------17/39-------B------13/38-------GB

                              G------16/38-------GG

b).

  • 9 ways
  • ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

  • Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

  • Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

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Points F (0,0), G (9,0) and H (9,12) of vertical triangle
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Answer:

15 is the distance

Step-by-step explanation:

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4 cups of pineapple juice, 8 cups of orange juice and 12 cups of Sprite makes 18 servings. How many cups of pineapple juice will
Ronch [10]

Answer:

24 cups.

Step-by-step explanation:

18 serving requires 4 cups of Pine apple

for 108 serving, 108/18 = 6 times.

Hence all your ingredients will be multiplied by 6 times to prepare 108 servings.

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3 years ago
Calculate the straight line distance between the points (-10, -7) and (-8,1).<br> G.2(B)
tia_tia [17]

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute and evaluate:

\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

4 0
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