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Lilit [14]
3 years ago
14

How old would a person born in 25 BC be on their birthday in AD 25?

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

50 years old

Step-by-step explanation:

The BC/AD time line is like a number line: the negative side of 0, the numbers move backwards; and the positive side of 0 moves normally.  If you have -25, then move to +25, you have just moved 50 places.

Hope this helps :)

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It <em>rises</em> 4 blocks up (+).

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The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
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<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

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f(-3) = -9+2

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If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

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

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

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