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Leya [2.2K]
3 years ago
13

Insert 5 G.Ms between 3 and 192​

Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

6, 12, 24, 48 and 96.

Step-by-step explanation:

We look for a geometric sequence with first term = 3:

nth term= a1 r^(n-1)

3 r^(n-1) = 192

r^(n-1) = 192 / 3 = 64

2 ^ 6 = 64   so r = 2.

Series is 3 ,6, 12, 24, 48, 96, 192.

So 5 geometric means would be 6, 12, 24, 48 and 96.

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Sladkaya [172]

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Step-by-step explanation:

Given

f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2

We have to find

(hofog)(x)

This will be equal to:

h(f(g(x)))

So we have to find the composition of (fog)(x) first

(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}

Now,

(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Keywords: Composition, Functions

Learn more about function composition at:

  • brainly.com/question/10015690
  • brainly.com/question/10048445

#LearnwithBrainly

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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