SOLUTION: Find the x and y-intercepts and domain of: R(t) = 8 - 3/(2t+4) Thank you

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Question 970418: Find the x and y-intercepts and domain of:
R(t) = 8 - 3/(2t+4)

Thank you

Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When t=0,
R%280%29=8-3%2F%282%280%29%2B4%29=8-3%2F4=32%2F4-3%2F4=29%2F4
(0,31/4)
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When R=0,
0=8-3%2F%282t%2B4%29
3%2F%282t%2B4%29=8
3=8%282t%2B4%29
3=16t%2B32
16t=-29
t=-29%2F16
(-29/16,0)
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Domain is all values except when the denominator equals zero since division by zero is undefined.
2t%2B4=0
2t=-4
t=-2
Domain:(-infinity,-2)U(-2,infinity)
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x and y-intercepts and domain of:
R(t) = 8 - 3/(2t+4)
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y-intercept ?
Let t = 0, then y = 8-3/(4) = 29/4
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x-intercept:
Let R(t) = 0
3/(2t+4) = 8
3 = 16t+32
16t = -29
t = -29/16
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Cheers,
Stan H.
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