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when we write sqrt(f(x)/g(x)) as sqrt(f(x))/sqrt(g(x)) does the domain shrink plzzzzzzzzzzzzzzzz anssssssssssssssssssssss soooooooooon

when we write sqrt(f(x)/g(x)) as sqrt(f(x))/sqrt(g(x))


does the domain shrink 


plzzzzzzzzzzzzzzzz 


anssssssssssssssssssssss soooooooooon

Grade:12

1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

for sqrt(f(x)/g(x)) g is nonzero and both f and g have the same sign. For the second expression again g is nonzero and once again f and g have the same sign. Therefore, the domains are the same.

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