Asked by kaci
suppose f(x)=x+4/x^2-4x-5 and g(x)= rad 3-x. algebraically determine the domain of f(x)/g(x)
Answers
Answered by
Steve
the domain of rational functions is all real numbers except where the denominator is zero
since
x^2-4x-5=0 when x = -1 or 5
√(3-x) is undefined when 3-x < 0, its domain is x <= 3
so, the domain of f/g is (-∞,-1)U(-1,3) because anywhere else either f or g or f/g is undefined.
since
x^2-4x-5=0 when x = -1 or 5
√(3-x) is undefined when 3-x < 0, its domain is x <= 3
so, the domain of f/g is (-∞,-1)U(-1,3) because anywhere else either f or g or f/g is undefined.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.