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lord [1]
2 years ago
13

A taxi charges 2.50 plus .50 fee for each mile. If the ride costs 7.50 how many miles did he travel

Mathematics
1 answer:
NeX [460]2 years ago
7 0

Answer:<em> 10 miles</em>

Step-by-step explanation:

<em>Mile 1: 3.00</em>

<em>Mile 2: 3.50</em>

<em>Mile 3: 4.00</em>

<em>Mile 4: 4.50</em>

<em>Mile 5: 5.00</em>

<em>Mile 6: 5.50</em>

<em>Mile 7: 6.00</em>

<em>Mile 8: 6.50</em>

<em>Mile 9: 7.00</em>

<em>Mile 10: 7.50</em>

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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)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

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

Explanation:

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

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

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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3 years ago
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Answer:

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finally the two areas combined (squares 2 and 4) would be 225

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