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25-04-2022
Mathematics

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Make it quick please!

What are the coordinates of the hole in the graph of the function f(x)?

f(x)=x2−9/x−3

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Аноним Аноним

25-04-2022

Factor out the numerator first

y=x²-9/x-3
y=x²-3²/x-3
y=(x+3)(x-3)/(x-3)
y=x+3

The hole is at x-3=0 i.e x=3

And

y=3+3=6

The hole is at (3,6)

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