What is the domain of sqrt(1+8^{-x)} ?

The domain of sqrt(1+8^{-x)} is -infinity <x<infinity

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domain of sqrt(1+8^{-x)}

domain

1 + 8^{- x}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

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

- \infty < x < \infty

y = 2 (2)^{x + 4} - 1

y = ∣ x ∣

f (x) = \frac{x + 1}{2 x ^{2} + 7 x - 9}

f (x) = \frac{2}{2 x + 6}

f (x) = \frac{1}{7 x + 4}

What is the domain of sqrt(1+8^{-x)} ?
The domain of sqrt(1+8^{-x)} is -infinity <x<infinity