SOLUTION: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused

Algebra ->  Rational-functions -> SOLUTION: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused      Log On


   

Question 108376: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of the function is all values of x where the function is defined.
In other words, look for where the function is undefined and the answer is everywhere other than that.
First one: g%28x%29=log%28%28x%2B3%29%29
The log function is only defined when the argument is >0.
x%2B3%3E0
x%3E-3
The domain of g(x) is all x such that x>-3.
Second case : g%28t%29=ln%28t-1%29
Similarly, the natural log is only defined when the argument is >0.
t-1%3E0
t%3E1
The domain of g(t) is all t such that t>1.