SOLUTION: Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)

Question 912229: Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)

Found 3 solutions by jim_thompson5910, lwsshak3, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
x can be any number but it cannot be 0 or -5. Why those two restrictions? Because if x = 0, then you have a division by zero error. Same reason for x = -5.

So the domain in interval notation is:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)
***
Denominators ≠ 0
set denominators=0 and solve for x
x≠0
x+5=0
x≠-5
domain:(-∞,-5) U (-5,0) U (0,∞)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the domain of the function algebraically and write it using interval notation: g(x)= 1/x + 8/(x+5)
Domain::
x cannot be 0 ; x cannot be -5
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Ans:: (-oo,-5)U(-5,0)U(0,+oo)
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Cheers,
Stan H.
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