SOLUTION: I need help find the domain and how you obtain the answer. 1. f(t)=4.5e^t 2. g(x)=log(x+3) 3. g(x)=2^t 4. g(t)=1n(t-1)

Question 180761: I need help find the domain and how you obtain the answer.
1. f(t)=4.5e^t
2. g(x)=log(x+3)
3. g(x)=2^t
4. g(t)=1n(t-1)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I need help find the domain and how you obtain the answer.
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Comment: The domain of a function is "all Real Numbers" unless you
can see some reason in the equation that would exclude one or more.
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1. f(t)=4.5e^t
Domain: All Real Numbers
-------------------------------
2. g(x)=log(x+3)
The x+3 must be positive:
x+3 > 0 implies x >-3
So Domain is "all Real Numbers greater than -3".
-----------------------------------
3. g(x)=2^t
Domain: All Real Numbers
-------------------------------------
4. g(t)=1n(t-1)
The t-1 must be positive
t-1 >0 implies t > 1
So Domain is "all Real Numbers greater than 1"
=================================================
Cheers,
Stan H.

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