Question 143173This question is from textbook Blitzer
: I,need some help in solving these problem,here i'm looking for the domain in these two problem. g(x)=log(x+3) and g(t)=In(t-1).Could you please help me in finding the answer? Thanks :)
This question is from textbook Blitzer
Found 2 solutions by oscargut, rapaljer:
Answer by oscargut(2103)   (Show Source):
You can put this solution on YOUR website! domain of log(f(x)) or ln(f(x)) are x values where f(x)>0
then
domain of g(x)=log(x+3) are x such that x+3>0 then domain are x/ x>-3
domain of g(t)=ln(t-1) are t such that t-1>0 then domain are t/t>1
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! To find the domain of these, remember that you can't have a log of a negative, and you can't have a log of zero. So, anything that is inside a logarithmic expression must be greater than zero. In math symbols, this means that
if you have log (x), then x>0.
In your case, you have g(x)=log(x+3) and g(t)=In(t-1).
Therefore, in the first function, x+3>0, so x>-3. Interval notation: (-3, inf)
In the ssecond function, t-1 > 0, so t>1. Interval notation: (1, inf)
R^2
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