SOLUTION: I need to determine the domain of f(x)= {{{sqrt(16-x^2) / (x+1)}}}

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Question 805664: I need to determine the domain of f(x)= sqrt%2816-x%5E2%29+%2F+%28x%2B1%29
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator tells you that -4%3C=x%3C=4.
The denominator tells you that x%3C-1 OR x%3E-1.

View these on a number line for a good visual sense. Once you have done that and studied it, continue...


Domain is highlight%28-4%3C=x%3C-1%29 OR highlight%281%3Cx%3C=4%29

Actually, the domain would be a set of numbers, so you want to include ALL of the numbers. The "OR" is not really needed. The domain is all real numbers in -4%3C=x%3C1 and 1%3Cx%3C=4.