logynklode
Pre Calc. Can anyone help me?



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3psilon
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What's the question?

findme
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"Can anyone help me?"

findme
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YES! :D

logynklode
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findme
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\[f(x) = \frac{ 2 }{ x^22x3 }=\frac{ 2 }{ (x+1)(x3) }\]

logynklode
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okay

findme
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That means the x cannot be 1, 3
so the domain (infi, 1)U(1, 3)U(3, infi)

findme
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or x <1, 1<x<3, x>3

logynklode
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okay

findme
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for xintercept:
set f(x)=0, then:
\[0=\frac{ 2 }{ (x+1)(x3) }\]
since no x exist that satisfy the above equation, there is no xintercept

findme
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for yintercept:
set x = 0, then:
\[f(0) = \frac{ 2 }{ (0+1)(03) }=\frac{ 2 }{ 3 }\]
so the yintercept is at the point (0, 2/3)

findme
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To get the horizontal asymptote:
divide every individual block in the equation by the highest power of x, which is x^2

logynklode
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no x inct? no range?

findme
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o lol, forgot about range
and there's no xint as I've explained

logynklode
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okay

findme
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sorry, I need to a lecture now, but here is the graph for reference. good luck :D

logynklode
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okay.

logynklode
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anyone?