SOLUTION: Is the domain of f/g always the same as the intersection of the domains of f and g?
Explain please?
Thank you!
Algebra.Com
Question 415236: Is the domain of f/g always the same as the intersection of the domains of f and g?
Explain please?
Thank you!
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the domain for is the intersection of the domains of and , except for those numbers such as that ;
that is ...-> {x|g(x) to 0}
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Absolutely not. Consider two polynomial functions, 
and 
with real coefficients. The domain of each is all real numbers. The intersection of these two domains is itself the set of all real numbers. However the domain of 
excludes any real value 
such that \ =\ 0)
.
John
My calculator said it, I believe it, that settles it
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