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Mathematics 16 Online
breezywooh:

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of g(x)/f(x)

mhchen:

hi can you reply to this so I know you're not a robot xd

darkknight:

I can help, maybe

darkknight:

First tell me what you are describing. What is mc013-1.jpg?

darkknight:

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of g(x)/f(x) assuming you want to describe the domain of g(x)/f(x) say you have a function f(x) = a/ (x-7) or something like that. (only the denominator matters.) and g(x) which equals something like a/ (x+3) only the denominator matters. The reason I put (x-7) in the denominator was because f(x) is not defined at 7, as is in this case. Same with g(x) a is any non-zero real number So g(x)/f(x) would be (a/(x+3)) / (a/(x-7)) which goes to (a/(x+3)) times (x-7)/a which becomes a(x-7)/a(x+3). Now you see that you can't have -3 in the denominator and a is non-zero so the domain of g(x)/f(x) is all real numbers except -3 and 0

darkknight:

hoped this helps!

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