SOLUTION: Write in simplified form. Be sure to list any restrictions on the domain. g(t) = ( 25 � p^2) / (p^2 + 10p + 25)

Question 215684This question is from textbook Intermediate Algebra
: Write in simplified form. Be sure to list any restrictions on the domain.
g(t) = ( 25 � p^2) / (p^2 + 10p + 25)
This question is from textbook Intermediate Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write in simplified form. Be sure to list any restrictions on the domain.
g(t) = ( 25 � p^2) / (p^2 + 10p + 25)
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Factor where you can:
g(t) = [-(p-5)(p+5)] / [(p+5)^2]
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From this form you can see that p=-5 is not in the domain.
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Simplify:
g(t) = [-(p-5)] / [(p+5)]
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So the domain is "all Real Numbers" except p=-5
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Cheers,
Stan H.
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