Which of the following rational functions is graphed below? A. F(x)=1/(x-1)(x+4)
B. F(x)= x+1/x-4
C. F(x)=1/x-4
D. F(x)=1/(x+1)(x-4)

You can try predicting the graph on some special points and will see it quickly the function which is plotted on the graph.

The rational function which is graphed below is given by

Option D: F(x)= 1/(x+2)(x-5)

D hope it helps

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Step-by-step explanation:

Option D: F(x)= 1/(x+2)(x-5)

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step-by-step explanation:

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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