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Mathematics 14 Online
OpenStudy (anonymous):

Find the domain of y equals 1 divided by the quantity x plus 3, minus 9. Answer All Real Numbers except x = 3 All Real Numbers except x = -3 All Real Numbers except x = 9 All Real Numbers except x = -9

jimthompson5910 (jim_thompson5910):

The equation is \[\Large y = \frac{1}{x+3}-9\] right?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

what operation is not allowed or defined in math?

OpenStudy (anonymous):

dividing 0

jimthompson5910 (jim_thompson5910):

dividing by zero, yes

jimthompson5910 (jim_thompson5910):

so if the denominator, x+3, were zero, then we'd have a problem

jimthompson5910 (jim_thompson5910):

what value makes the denominator x+3 equal to 0?

OpenStudy (anonymous):

-3

OpenStudy (anonymous):

all real number except - 3

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

any number works for x BUT -3 does not because it causes that division by zero error

OpenStudy (anonymous):

thank u

jimthompson5910 (jim_thompson5910):

yw

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