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Ket [755]
4 years ago
13

State the domain of the rational function. f(x) = seventeen divided by quantity five minus x

Mathematics
1 answer:
alexandr1967 [171]4 years ago
4 0

If we are going to write the equation in its mathematical form, we will see that it becomes,

<span>                                        f(x) = 17/(x – 5)</span>

The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.

<span> </span>

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Option A:

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In the given graph we can find the coordinates of L and N.  

Coordinates of L = (–2, 3)

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Here, x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3

Let us find the midpoint of the segment LN.

<u>Midpoint formula:</u>

$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

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Midpoint of LN = (2, 3)  

Option A is the correct answer.  

Hence the coordinates of the midpoint of the line segment LN is (2, 3).

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