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iren [92.7K]
3 years ago
13

To obtain the sequence 1, 1/3, 1/9, 1/27,..., what domain should be applied to the exponential function shown here?

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Consider the exponential function

y=\left(\dfrac{1}{3}\right)^x.

  • At x=0, y=\left(\dfrac{1}{3}\right)^0=1;
  • At x=1, y=\left(\dfrac{1}{3}\right)^1=\dfrac{1}{3};
  • At x=2, y=\left(\dfrac{1}{3}\right)^2=\dfrac{1}{9};
  • At x=3, y=\left(\dfrac{1}{3}\right)^3=\dfrac{1}{27};
  • and so on.

Thus, the domain is {0, 1, 2, 3, ...}

Answer: option D.

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vfiekz [6]

Answer:

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Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

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g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

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let's simplify this a little bit more.

f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5

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3 years ago
Hi I need help for my math class it’s due Saturday!
vichka [17]

Answer:

a) 21m - 0.87 = m

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