What is the domain of g(t)=sqrt(9+8^{-t)} ?

The domain of g(t)=sqrt(9+8^{-t)} is -infinity <t<infinity

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domain of g(t)=sqrt(9+8^{-t)}

domain

- \infty < t < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < t < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < t < \infty

What is the domain of g(t)=sqrt(9+8^{-t)} ?
The domain of g(t)=sqrt(9+8^{-t)} is -infinity <t<infinity