Question 443134
Determine the domain and sketch the graph of the reducible function.
f(x) = (x^2 - 25) / (2x - 10).
Domain is all Real numbers except x = 5.
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Factor:
f(x) = [(x-5)(x+5)]/[2(x-5)]
Cancel the common (x-5) factors.
f(x) = (x+5)/2
{{{graph(400,300,-10,10,-10,10,(x+5)/2)}}}
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f(x) = (x+2) / (x^2-x-6).
Factor: (x+2)/[(x-3)(x+2)]
Domain is all Real numbers except x = -2
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Cancel the common (x+2) factors.
f(x) = 1/(x-3)
{{{graph(400,300,-10,10,-10,10,1/(x-3))}}}
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Cheers,
Stan H. 
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when I did, the instructor said i was wrong; see his response:
what did i do wrong