SOLUTION: Find the domain and range algebraically g(t)=(2)/(sqrt(t+4))

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Question 471014: Find the domain and range algebraically
g(t)=(2)/(sqrt(t+4))
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the domain and range algebraically
g(t)=(2)/(sqrt(t+4))
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g(t)=(2)/(sqrt(t+4))
y=2/√(t+4)
t+4>0
t>-4
Domain: (-4, ∞)
..
solve for t
√(t+4)=2/y
(t+4)=4/y^2
t=(4/y^2)-4
Range: (0,∞)