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Mathematics 10 Online
OpenStudy (anonymous):

How do you find the domain of f(x)=x^2

hartnn (hartnn):

we exclude the numbers from the domain of the function in 2 cases 1) the denominator = 0 2) the quantity under the square root sign is negative do u see any of these conditions met here ?

OpenStudy (anonymous):

no

hartnn (hartnn):

right, so you won't exclude any number and the domain of x^2 would be all real numbers.

hartnn (hartnn):

infact , for ANY polynomial, the domain is all reals numbers :)

OpenStudy (anonymous):

oh okay thanks what about g(x)=1/x^2+2 ?

hartnn (hartnn):

for what values of x is denominator = 0 ?

OpenStudy (anonymous):

0 ?

hartnn (hartnn):

is it (1/x^2) +2 or 1/(x^2+2) ??

OpenStudy (anonymous):

the first one lol

hartnn (hartnn):

then yes, 0 will be excluded from the domain

hartnn (hartnn):

final domain, is all real numbers excluding 0

OpenStudy (anonymous):

so when I look for domain of expressions it just houldn't have a denominator of 0 or a negative square root ?

hartnn (hartnn):

right :)

OpenStudy (anonymous):

okay thanks!!

OpenStudy (anonymous):

oh wait i have one more question

hartnn (hartnn):

welcome ^_^

OpenStudy (anonymous):

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