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Determine the domain of the given function f(t)=(t+2)/sqrt(9-t^2)

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Determine the domain of the given function...

Determine the domain of the given function f(t)=(t+2)/sqrt(9-t^2)

determine the domain of the given function f(t)=(t+2) sqrt(9-t^2)

asked Jan 11, 2012 in Algebra 1 Answers by anonymous

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1 Answer

The domain is controlled by √(9-t²). When t=3 or -3 this expression is zero (in the denominator) so t may not take these values. The domain must exclude them. Also, since we cannot graph square roots of a negative number, 9-t²>0, 9>t². |t|<3. Therefore the domain is -3<t<3.

answered Aug 3, 2022 by Rod Top Rated User (1.2m points)

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