SOLUTION: Thanks you in advance..Find the domain of the following:? Find the domain of the following:? a) f(t)=4.5e^t (small t on top of e) Answer: Show your work or explain how y

Algebra ->  Human-and-algebraic-language -> SOLUTION: Thanks you in advance..Find the domain of the following:? Find the domain of the following:? a) f(t)=4.5e^t (small t on top of e) Answer: Show your work or explain how y      Log On


   

Question 123661: Thanks you in advance..Find the domain of the following:?
Find the domain of the following:?
a) f(t)=4.5e^t (small t on top of e)
Answer:
Show your work or explain how you obtained your answer here:
b) g(x)=log(x+3)
Answer:
Explain how you obtained your answer here:
c) g(x)=2^x ( same as a, small x on top of 2)
Answer:
Show your work or explain how you obtained your answer here:
d) g(t)=ln(t-1)
Answer:
Explain how you obtained your answer here:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of a function is the set of all values for the independent variable that will give you a value for your function or where the function makes sense.
a.)f%28t%29=4.5e%5E%28t%29
There are no limitations on the domain.
The domain is for x is (-infinity,infinity)
b)g%28x%29=log%28%28x%2B3%29%29
The log function has a limitation that the expression in the parentheses must be greater than zero.
x%2B3%3E0
x%3E-3
The domain for x is (-3,infinity)
c.)g%28x%29=2%5Ex
There are no limitations on the domain.
The domain for x is (-infinity,infinity)
b)g%28t%29=ln%28t-1%29+
The natural log function also has a limitation that the expression in the parentheses must be greater than zero.
t-1%3E0
t%3E1
The domain for x is (1,infinity)