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OpenStudy (anonymous):
Square roots cannot be negative so the interval will have to start at...
OpenStudy (anonymous):
thats how they gave me the question
OpenStudy (anonymous):
sorry i meant x cannot be negative. This means that \[x \ge ?\]
OpenStudy (anonymous):
That will be the lower bound of your interval
OpenStudy (anonymous):
its x-6
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OpenStudy (anonymous):
so it's \[f(x) = \sqrt{x - 6}\]?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
right so \[x-6 \ge ?\] considering that we cannot take the square root of a negative number?
OpenStudy (anonymous):
explain
OpenStudy (anonymous):
To find the lower part of the interval you must find where the x values start right? As there is a square root We cannot use negative values of x-6. This means that \[x-6 \ge 0\] and \[x \ge 6\] This is where the function's domain starts
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OpenStudy (anonymous):
The domain will go up to infinity however does not include infinity so make sure you use the right interval sign.\[[6,\infty)\]