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anonymous
 one year ago
Graph the function g(x)=3+log4(x+1) and give its domain and range using interval notation.
anonymous
 one year ago
Graph the function g(x)=3+log4(x+1) and give its domain and range using interval notation.

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.2here is a nice picture, but make sure to click on "real valued plot" so as not to get confused with complex numbers http://www.wolframalpha.com/input/?i=3%2Blog_4%28x1%29

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2range of the log is always \((\infty, \infty)\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2and you can't take the log of a negative number, so to find the domain, solve \[x1>0\) in one step

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2oops i meant solve \[x1>0\] in one step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x can be any real number?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2lol i must be tired no solve \[x+1>0\] for \(x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im sorry I'm still a little confused

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the input in the log must be positive your input is \(x+1\) so \(x+1\) has to be positive, i.e. \(x+1>0\) is what you know first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can solve that inequality for \(x\) in your head in one step by subtracting \(1\) from both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that will give you the domain as @misty1212 said, the range is all real numbers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh no, not \(x<1\) \[x+1>0\\ x>1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so from x>1, that would be the domain? @misty1212
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