Please help me with Pre-Cal?

Question

Identify the asymptotes, removable discontinuities, and intercepts for the graph of each function.

1.  d(x)= (x^2 -12x+20) / (3x)

2.  z(x)= (x^2-7x-8) / (x^3+64)

Please help me with these 2 questions. My math teacher is horrible and I have a test tomorrow! This is a practice prep.

Thank you!!

ted s · Accepted Answer

1) do the division ! to show y = x/3 - 4 is the asymptote ; ( 2,0) & (10,0) are 
the intercepts ; no removable

2) y = 0 { divide top and bottom by x^3 } is the HA ; x = - 4 is a VA ;  (8,0) & ( -1 , 0 )

are x intercepts while ( 0 , - 1/8 ) is the y intercept ; no removable

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