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3 years ago

Here is the same number machine.

1 answer:

4 0

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

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Mashcka [7]

For this case we have that by definition of power properties it is fulfilled that:

$(a ^ n) ^ m = a ^ {n * m}$

We must rewrite the following function:

$f (x) = 7 (\frac {1} {2})^{3x}}$

Using the mentioned property we have:

$f (x) = 7 ((\frac {1} {2}) ^ 3) ^ x$

Solving the operation within the parenthesis we have:

$f (x) = 7 (\frac {1 ^ 3} {2 ^ 3}) ^{ x}\\f (x) = 7 (\frac {1} {8})^{x}$

Thus, the correct option is option B

ANswer:

Option B

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