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Mathematics 13 Online
OpenStudy (anonymous):

What is the domain of the function in interval notation: f(x)=ln(-7-x)

jimthompson5910 (jim_thompson5910):

Hint: the argument must be positive, so -7 - x > 0

jimthompson5910 (jim_thompson5910):

solve for x

OpenStudy (anonymous):

-7>-x?

OpenStudy (anonymous):

i mean -7>x?

jimthompson5910 (jim_thompson5910):

-7 - x > 0 -7 - x+x > 0+x -7 > x

jimthompson5910 (jim_thompson5910):

good you beat me to it

jimthompson5910 (jim_thompson5910):

so x < -7

jimthompson5910 (jim_thompson5910):

which means your answer in interval notation is what

OpenStudy (anonymous):

Im not sure

OpenStudy (anonymous):

(0,7)?

jimthompson5910 (jim_thompson5910):

it would be \[\Large \left(-\infty, -7\right)\]

jimthompson5910 (jim_thompson5910):

since you're basically considering everything less than -7 so you're starting at -infinity, then going up to -7, but not including it

OpenStudy (anonymous):

Oh i see! Thank you very much

jimthompson5910 (jim_thompson5910):

yw

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